LCM of 40,75,120
please explain using the common division method
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Answer:
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Step-by-step explanation:
5|40 75 120
3| 8 15 24
2| 8 5 8
2| 4 5 4
2| 2 5 2
5| 1 5 1
| 1 1 1
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Solution :-
Finding the LCM of 40,75,120 using the common division method we get :-
2| 40 - 75 - 120
2| 20 - 75 - 60
2| 10 - 75 - 30
3| 5 - 75 - 15
5| 5 - 25 - 5
5| 1 - 5 - 1
1 - 1 - 1
So,
→ LCM = Product of prime factors = 2 * 2 * 2 * 3 * 5 * 5 = 600 (Ans.)
Hence, the LCM of 40, 75 and 120 will be 600 .
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