Least Common Multiple of 35, 42, 570
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, 42, 570 i.e. 3990 smallest integer divisible by all numbers.
Least common multiple (LCM) of 35, 42, 570 is 3990.
LCM(35, 42, 570) = 3990
LCM of 35, 42, 570
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 35, 42, 570 by common division method
- Least Common Multiple of 35, 42, 570 with GCF Formula
Least Common Multiple (LCM) of 35,42,570 is 3990
| 2 | 35, 42, 570 |
| 3 | 35, 21, 285 |
| 5 | 35, 7, 95 |
| 7 | 7, 7, 19 |
| 1, 1, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 19 = 3990
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 35,42,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,42,570) = 1
common factors(in case of two or more numbers have common factors) = 210
GCF(35,42,570) x common factors =1 x 210 = 210
LCM(35,42,570) = ( 35 × 42 × 570 ) / 210
LCM(35,42,570) = 837900 / 210
LCM(35,42,570) = 3990
∴ Least Common Multiple of 35,42,570 is 3990
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 35, 42, 570
1. What is the LCM of 35, 42, 570?
Answer: LCM of 35, 42, 570 is 3990.
2. What are the Factors of 3990?
Answer: Factors of 3990 are . There are integers that are factors of 3990
3. How to Find the LCM of 35, 42, 570 ?
Least Common Multiple of 35, 42, 570.
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, 42, 570) = 2 x 3 x 5 x 7 x 19 = 3990.