Least Common Multiple of 13, 10, 69, 690

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 13, 10, 69, 690 i.e. 8970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 10, 69, 690 is 8970.

LCM(13, 10, 69, 690) = 8970

LCM of 13, 10, 69, 690

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

LCM of:

Least Common Multiple of 13,10,69,690

Least Common Multiple (LCM) of 13,10,69,690 is 8970

2 13, 10, 69, 690
3 13, 5, 69, 345
5 13, 5, 23, 115
23 13, 1, 23, 23
13, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 13 x 1 x 1 x 1 = 8970

Least Common Multiple of 13,10,69,690 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 13,10,69,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,10,69,690) = 1

common factors(in case of two or more numbers have common factors) = 690

GCF(13,10,69,690) x common factors =1 x 690 = 690

LCM(13,10,69,690) = ( 13 × 10 × 69 × 690 ) / 690

LCM(13,10,69,690) = 6189300 / 690

LCM(13,10,69,690) = 8970

∴ Least Common Multiple of 13,10,69,690 is 8970

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 13, 10, 69, 690

1. What is the LCM of 13, 10, 69, 690?

Answer: LCM of 13, 10, 69, 690 is 8970.

2. What are the Factors of 8970?

Answer: Factors of 8970 are . There are integers that are factors of 8970

3. How to Find the LCM of 13, 10, 69, 690 ?

Least Common Multiple of 13, 10, 69, 690.

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(13, 10, 69, 690) = 2 x 3 x 5 x 13 x 23 = 8970.