Least Common Multiple of 31, 70, 434
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 31, 70, 434 i.e. 2170 smallest integer divisible by all numbers.
Least common multiple (LCM) of 31, 70, 434 is 2170.
LCM(31, 70, 434) = 2170
LCM of 31, 70, 434
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 31, 70, 434 by common division method
- Least Common Multiple of 31, 70, 434 with GCF Formula
Least Common Multiple (LCM) of 31,70,434 is 2170
| 2 | 31, 70, 434 |
| 7 | 31, 35, 217 |
| 31 | 31, 5, 31 |
| 1, 5, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 1 x 5 x 1 = 2170
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 31,70,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,70,434) = 1
common factors(in case of two or more numbers have common factors) = 434
GCF(31,70,434) x common factors =1 x 434 = 434
LCM(31,70,434) = ( 31 × 70 × 434 ) / 434
LCM(31,70,434) = 941780 / 434
LCM(31,70,434) = 2170
∴ Least Common Multiple of 31,70,434 is 2170
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 31, 70, 434
1. What is the LCM of 31, 70, 434?
Answer: LCM of 31, 70, 434 is 2170.
2. What are the Factors of 2170?
Answer: Factors of 2170 are . There are integers that are factors of 2170
3. How to Find the LCM of 31, 70, 434 ?
Least Common Multiple of 31, 70, 434.
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(31, 70, 434) = 2 x 5 x 7 x 31 = 2170.