Least Common Multiple of 513, 424, 810, 742, 114

Q: How to Find the LCM of 513, 424, 810, 742, 114 ?

Least Common Multiple of 513, 424, 810, 742, 114 = 22838760 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(513, 424, 810, 742, 114) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 19 x 53 = 22838760.

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 513, 424, 810, 742, 114 i.e. 22838760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 513, 424, 810, 742, 114 is 22838760.

LCM(513, 424, 810, 742, 114) = 22838760

LCM of 513, 424, 810, 742, 114

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

Least Common Multiple of 513, 424, 810, 742, 114 by common division method
Least Common Multiple of 513, 424, 810, 742, 114 with GCF Formula

Least Common Multiple of 513,424,810,742,114

Least Common Multiple (LCM) of 513,424,810,742,114 is 22838760

2	513, 424, 810, 742, 114
3	513, 212, 405, 371, 57
3	171, 212, 135, 371, 19
3	57, 212, 45, 371, 19
19	19, 212, 15, 371, 19
53	1, 212, 15, 371, 1
	1, 4, 15, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 19 x 53 x 1 x 4 x 15 x 7 x 1 = 22838760

Least Common Multiple of 513,424,810,742,114 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 513,424,810,742,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,424,810,742,114) = 1

common factors(in case of two or more numbers have common factors) = 652536

GCF(513,424,810,742,114) x common factors =1 x 652536 = 652536

LCM(513,424,810,742,114) = ( 513 × 424 × 810 × 742 × 114 ) / 652536

LCM(513,424,810,742,114) = 14903113095360 / 652536

LCM(513,424,810,742,114) = 22838760

∴ Least Common Multiple of 513,424,810,742,114 is 22838760

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 513, 424, 810, 742, 114

1. What is the LCM of 513, 424, 810, 742, 114?

Answer: LCM of 513, 424, 810, 742, 114 is 22838760.

2. What are the Factors of 22838760?

Answer: Factors of 22838760 are . There are integers that are factors of 22838760

3. How to Find the LCM of 513, 424, 810, 742, 114 ?

Least Common Multiple of 513, 424, 810, 742, 114.

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(513, 424, 810, 742, 114) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 19 x 53 = 22838760.