Least Common Multiple of 69, 828, 688

Q: How to Find the LCM of 69, 828, 688 ?

Least Common Multiple of 69, 828, 688 = 142416 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(69, 828, 688) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 43 = 142416.

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 69, 828, 688 i.e. 142416 smallest integer divisible by all numbers.

Least common multiple (LCM) of 69, 828, 688 is 142416.

LCM(69, 828, 688) = 142416

LCM of 69, 828, 688

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

Least Common Multiple of 69, 828, 688 by common division method
Least Common Multiple of 69, 828, 688 with GCF Formula

Least Common Multiple of 69,828,688

Least Common Multiple (LCM) of 69,828,688 is 142416

2	69, 828, 688
2	69, 414, 344
3	69, 207, 172
23	23, 69, 172
	1, 3, 172

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 3 x 172 = 142416

Least Common Multiple of 69,828,688 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 69,828,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,828,688) = 1

common factors(in case of two or more numbers have common factors) = 276

GCF(69,828,688) x common factors =1 x 276 = 276

LCM(69,828,688) = ( 69 × 828 × 688 ) / 276

LCM(69,828,688) = 39306816 / 276

LCM(69,828,688) = 142416

∴ Least Common Multiple of 69,828,688 is 142416

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 69, 828, 688

1. What is the LCM of 69, 828, 688?

Answer: LCM of 69, 828, 688 is 142416.

2. What are the Factors of 142416?

Answer: Factors of 142416 are . There are integers that are factors of 142416

3. How to Find the LCM of 69, 828, 688 ?

Least Common Multiple of 69, 828, 688.

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(69, 828, 688) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 43 = 142416.