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How many numbers are there between 4000 and 6000 which are exactly divisible by 32, 40, 48 and 60?

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Important Questions on HCF and LCM

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Four numbers are in the ratio of 10 : 12 : 15 : 18. If their HCF is 3, find their LCM ?
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Five bells first begin to toll together and then at intervals of 3, 5, 7, 8 and 10 s. Find after what interval they will again toll together. How many times do they toll together in one hour?
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Four bells ring at the interval of 6 s, 8 s, 12 s and 18 s. They start ringing together at 12'o clock. After how many seconds will they ring together again?
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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 s respectively. In 30 min, how many times do they toll together?
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An electric wire is sold only in multiples of 1 m and a person required several lengths of wire, each 85 cm long. To avoid any wastage and to minimise labour, he should purchase minimum lengths of ?
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Find the greatest possible length of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length ?
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Monica, Veronica and Rachat begin to jog around a circular stadium. They complete their revolutions in 42 s, 56 s and 63 s, respectively. After how many seconds will they be together at the starting point?
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The capacity of two pots are 240 L and 112 L, respectively. Find the capacity of a container which can exactly measure the contents of the two pots?