Least Common Multiple of 57, 14, 34, 969

Q: How to Find the LCM of 57, 14, 34, 969 ?

Least Common Multiple of 57, 14, 34, 969 = 13566 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(57, 14, 34, 969) = 2 x 3 x 7 x 17 x 19 = 13566.

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 57, 14, 34, 969 i.e. 13566 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 14, 34, 969 is 13566.

LCM(57, 14, 34, 969) = 13566

LCM of 57, 14, 34, 969

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

Least Common Multiple of 57, 14, 34, 969 by common division method
Least Common Multiple of 57, 14, 34, 969 with GCF Formula

Least Common Multiple of 57,14,34,969

Least Common Multiple (LCM) of 57,14,34,969 is 13566

2	57, 14, 34, 969
3	57, 7, 17, 969
17	19, 7, 17, 323
19	19, 7, 1, 19
	1, 7, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 1 x 7 x 1 x 1 = 13566

Least Common Multiple of 57,14,34,969 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 57,14,34,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,14,34,969) = 1

common factors(in case of two or more numbers have common factors) = 1938

GCF(57,14,34,969) x common factors =1 x 1938 = 1938

LCM(57,14,34,969) = ( 57 × 14 × 34 × 969 ) / 1938

LCM(57,14,34,969) = 26290908 / 1938

LCM(57,14,34,969) = 13566

∴ Least Common Multiple of 57,14,34,969 is 13566

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 57, 14, 34, 969

1. What is the LCM of 57, 14, 34, 969?

Answer: LCM of 57, 14, 34, 969 is 13566.

2. What are the Factors of 13566?

Answer: Factors of 13566 are . There are integers that are factors of 13566

3. How to Find the LCM of 57, 14, 34, 969 ?

Least Common Multiple of 57, 14, 34, 969.

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(57, 14, 34, 969) = 2 x 3 x 7 x 17 x 19 = 13566.