Least Common Multiple of 35, 54, 735
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 35, 54, 735 i.e. 13230 smallest integer divisible by all numbers.
Least common multiple (LCM) of 35, 54, 735 is 13230.
LCM(35, 54, 735) = 13230
LCM of 35, 54, 735
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 35, 54, 735 by common division method
- Least Common Multiple of 35, 54, 735 with GCF Formula
Least Common Multiple (LCM) of 35,54,735 is 13230
| 3 | 35, 54, 735 |
| 5 | 35, 18, 245 |
| 7 | 7, 18, 49 |
| 1, 18, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 18 x 7 = 13230
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 35,54,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,54,735) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(35,54,735) x common factors =1 x 105 = 105
LCM(35,54,735) = ( 35 × 54 × 735 ) / 105
LCM(35,54,735) = 1389150 / 105
LCM(35,54,735) = 13230
∴ Least Common Multiple of 35,54,735 is 13230
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 35, 54, 735
1. What is the LCM of 35, 54, 735?
Answer: LCM of 35, 54, 735 is 13230.
2. What are the Factors of 13230?
Answer: Factors of 13230 are . There are integers that are factors of 13230
3. How to Find the LCM of 35, 54, 735 ?
Least Common Multiple of 35, 54, 735.
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(35, 54, 735) = 2 x 3 x 3 x 3 x 5 x 7 x 7 = 13230.