Least Common Multiple of 68, 30, 84, 724

Q: How to Find the LCM of 68, 30, 84, 724 ?

Least Common Multiple of 68, 30, 84, 724 = 1292340 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(68, 30, 84, 724) = 2 x 2 x 3 x 5 x 7 x 17 x 181 = 1292340.

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 68, 30, 84, 724 i.e. 1292340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 30, 84, 724 is 1292340.

LCM(68, 30, 84, 724) = 1292340

LCM of 68, 30, 84, 724

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

Least Common Multiple of 68, 30, 84, 724 by common division method
Least Common Multiple of 68, 30, 84, 724 with GCF Formula

Least Common Multiple of 68,30,84,724

Least Common Multiple (LCM) of 68,30,84,724 is 1292340

2	68, 30, 84, 724
2	34, 15, 42, 362
3	17, 15, 21, 181
	17, 5, 7, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 7 x 181 = 1292340

Least Common Multiple of 68,30,84,724 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 68,30,84,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,30,84,724) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(68,30,84,724) x common factors =2 x 48 = 96

LCM(68,30,84,724) = ( 68 × 30 × 84 × 724 ) / 96

LCM(68,30,84,724) = 124064640 / 96

LCM(68,30,84,724) = 1292340

∴ Least Common Multiple of 68,30,84,724 is 1292340

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 68, 30, 84, 724

1. What is the LCM of 68, 30, 84, 724?

Answer: LCM of 68, 30, 84, 724 is 1292340.

2. What are the Factors of 1292340?

Answer: Factors of 1292340 are . There are integers that are factors of 1292340

3. How to Find the LCM of 68, 30, 84, 724 ?

Least Common Multiple of 68, 30, 84, 724.

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(68, 30, 84, 724) = 2 x 2 x 3 x 5 x 7 x 17 x 181 = 1292340.