Least Common Multiple of 68, 24, 54, 34, 820

Q: How to Find the LCM of 68, 24, 54, 34, 820 ?

Least Common Multiple of 68, 24, 54, 34, 820 = 752760 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, 24, 54, 34, 820) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 41 = 752760.

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, 24, 54, 34, 820 i.e. 752760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 24, 54, 34, 820 is 752760.

LCM(68, 24, 54, 34, 820) = 752760

LCM of 68, 24, 54, 34, 820

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

Least Common Multiple of 68, 24, 54, 34, 820 by common division method
Least Common Multiple of 68, 24, 54, 34, 820 with GCF Formula

Least Common Multiple of 68,24,54,34,820

Least Common Multiple (LCM) of 68,24,54,34,820 is 752760

2	68, 24, 54, 34, 820
2	34, 12, 27, 17, 410
3	17, 6, 27, 17, 205
17	17, 2, 9, 17, 205
	1, 2, 9, 1, 205

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 2 x 9 x 1 x 205 = 752760

Least Common Multiple of 68,24,54,34,820 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 68,24,54,34,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,24,54,34,820) = 2

common factors(in case of two or more numbers have common factors) = 1632

GCF(68,24,54,34,820) x common factors =2 x 1632 = 3264

LCM(68,24,54,34,820) = ( 68 × 24 × 54 × 34 × 820 ) / 3264

LCM(68,24,54,34,820) = 2457008640 / 3264

LCM(68,24,54,34,820) = 752760

∴ Least Common Multiple of 68,24,54,34,820 is 752760

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 68, 24, 54, 34, 820

1. What is the LCM of 68, 24, 54, 34, 820?

Answer: LCM of 68, 24, 54, 34, 820 is 752760.

2. What are the Factors of 752760?

Answer: Factors of 752760 are . There are integers that are factors of 752760

3. How to Find the LCM of 68, 24, 54, 34, 820 ?

Least Common Multiple of 68, 24, 54, 34, 820.

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, 24, 54, 34, 820) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 41 = 752760.