# LCM and HCF

HCF and LCM: What is LCM? What is HCF? LCM full form, HCF full form, How to find LCM of two numbers, LCM of Fractions, HCF of Fractions, HCF and LCM problems

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## Online Aptitude Questions with Answers on LCM and HCF

Q61. **What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?**

1.  78
2.  68
3.  58
4.  None

Solution : 68
Q62. **Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?**

1.  420
2.  515
3.  435
4.  518

Solution : 515

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Q63. **Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?**

1.  9654
2.  9666
3.  9664
4.  9864

Solution : 9654
Q64. **A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?**

1.  7203
2.  2403
3.  3603
4.  4803

Solution : 7203

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Q65. **Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?**

1.  210
2.  119
3.  126
4.  154

Solution : 119
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