Least Common Multiple of 69/724, 714/499, 623/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/724, 714/499, 623/476 quickly i.e. 1461558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/724, 714/499, 623/476 is 1461558.

LCM(69/724, 714/499, 623/476) = 1461558

LCM of 69/724, 714/499, 623/476

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 69/724,714/499,623/476

Given numbers are 69/724,714/499,623/476

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 69,714,623

Least Common Multiple of Numerators i.e. LCM of 69,714,623 is 1461558.

GCF of Denominators means GCF of 724,499,476 as per the given fractions.

GCF of 724,499,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,714,623

LCM of Fractions 69/724,714/499,623/476 is 1461558

3 69, 714, 623
7 23, 238, 623
23, 34, 89

∴ So the LCM of the given numbers is 3 x 7 x 23 x 34 x 89 = 1461558

Least Common Multiple of 69,714,623 with GCF Formula

Least Common Multiple of 69,714,623 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 69,714,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,714,623) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(69,714,623) x common factors =1 x 21 = 21

LCM(69,714,623) = ( 69 × 714 × 623 ) / 21

LCM(69,714,623) = 30692718 / 21

LCM(69,714,623) = 1461558


Lets's calculate GCF of 724,499,476

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1461558/1

Therefore the LCM of Fractions 69/724,714/499,623/476 is 1461558

Greatest Common Factor of 724,499,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,499,476 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 724,499,476 . The biggest common factor number is the GCF number.
So the greatest common factor 724,499,476 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 69/724, 714/499, 623/476

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 69/724, 714/499, 623/476?

Answer: LCM of Numerators as per given numbers 69/724, 714/499, 623/476 is

LCM of Numerators i.e. for 69,714,623 is 1461558

GCF of denominators i.e. for 724,499,476 is 1.

Thus, LCM of Fractions is 1461558.Finally, LCM of Fractions for 69/724, 714/499, 623/476 is 1461558.