Least Common Multiple of 10, 14, 70, 971

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 10, 14, 70, 971 i.e. 67970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 10, 14, 70, 971 is 67970.

LCM(10, 14, 70, 971) = 67970

LCM of 10, 14, 70, 971

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 10,14,70,971

Least Common Multiple (LCM) of 10,14,70,971 is 67970

2 10, 14, 70, 971
5 5, 7, 35, 971
7 1, 7, 7, 971
1, 1, 1, 971

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 1 x 971 = 67970

Least Common Multiple of 10,14,70,971 with GCF Formula

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 10,14,70,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,14,70,971) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(10,14,70,971) x common factors =1 x 140 = 140

LCM(10,14,70,971) = ( 10 × 14 × 70 × 971 ) / 140

LCM(10,14,70,971) = 9515800 / 140

LCM(10,14,70,971) = 67970

∴ Least Common Multiple of 10,14,70,971 is 67970

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 10, 14, 70, 971

1. What is the LCM of 10, 14, 70, 971?

Answer: LCM of 10, 14, 70, 971 is 67970.

2. What are the Factors of 67970?

Answer: Factors of 67970 are . There are integers that are factors of 67970

3. How to Find the LCM of 10, 14, 70, 971 ?

Least Common Multiple of 10, 14, 70, 971.

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(10, 14, 70, 971) = 2 x 5 x 7 x 971 = 67970.