Least Common Multiple of 63, 735, 140
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 63, 735, 140 i.e. 8820 smallest integer divisible by all numbers.
Least common multiple (LCM) of 63, 735, 140 is 8820.
LCM(63, 735, 140) = 8820
LCM of 63, 735, 140
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 63, 735, 140 by common division method
- Least Common Multiple of 63, 735, 140 with GCF Formula
Least Common Multiple (LCM) of 63,735,140 is 8820
| 3 | 63, 735, 140 |
| 5 | 21, 245, 140 |
| 7 | 21, 49, 28 |
| 3, 7, 4 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 3 x 7 x 4 = 8820
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 63,735,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,735,140) = 7
common factors(in case of two or more numbers have common factors) = 105
GCF(63,735,140) x common factors =7 x 105 = 735
LCM(63,735,140) = ( 63 × 735 × 140 ) / 735
LCM(63,735,140) = 6482700 / 735
LCM(63,735,140) = 8820
∴ Least Common Multiple of 63,735,140 is 8820
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 63, 735, 140
1. What is the LCM of 63, 735, 140?
Answer: LCM of 63, 735, 140 is 8820.
2. What are the Factors of 8820?
Answer: Factors of 8820 are . There are integers that are factors of 8820
3. How to Find the LCM of 63, 735, 140 ?
Least Common Multiple of 63, 735, 140.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(63, 735, 140) = 2 x 2 x 3 x 3 x 5 x 7 x 7 = 8820.