Least Common Multiple of 8, 350, 343

Q: How to Find the LCM of 8, 350, 343 ?

Least Common Multiple of 8, 350, 343 = 68600 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(8, 350, 343) = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 7 = 68600.

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 8, 350, 343 i.e. 68600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 8, 350, 343 is 68600.

LCM(8, 350, 343) = 68600

LCM of 8, 350, 343

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

Least Common Multiple of 8, 350, 343 by common division method
Least Common Multiple of 8, 350, 343 with GCF Formula

Least Common Multiple of 8,350,343

Least Common Multiple (LCM) of 8,350,343 is 68600

2	8, 350, 343
7	4, 175, 343
	4, 25, 49

∴ So the LCM of the given numbers is 2 x 7 x 4 x 25 x 49 = 68600

Least Common Multiple of 8,350,343 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 8,350,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,350,343) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(8,350,343) x common factors =1 x 14 = 14

LCM(8,350,343) = ( 8 × 350 × 343 ) / 14

LCM(8,350,343) = 960400 / 14

LCM(8,350,343) = 68600

∴ Least Common Multiple of 8,350,343 is 68600

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 8, 350, 343

1. What is the LCM of 8, 350, 343?

Answer: LCM of 8, 350, 343 is 68600.

2. What are the Factors of 68600?

Answer: Factors of 68600 are . There are integers that are factors of 68600

3. How to Find the LCM of 8, 350, 343 ?

Least Common Multiple of 8, 350, 343.

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(8, 350, 343) = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 7 = 68600.