Least Common Multiple of 43/525, 854/518, 123/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/525, 854/518, 123/812 quickly i.e. 645258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/525, 854/518, 123/812 is 645258.

LCM(43/525, 854/518, 123/812) = 645258

LCM of 43/525, 854/518, 123/812

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 43/525,854/518,123/812

Given numbers are 43/525,854/518,123/812

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 43,854,123

Least Common Multiple of Numerators i.e. LCM of 43,854,123 is 4516806.

GCF of Denominators means GCF of 525,518,812 as per the given fractions.

GCF of 525,518,812 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,854,123

LCM of Fractions 43/525,854/518,123/812 is 645258

Given numbers has no common factors except 1. So, there LCM is their product i.e 4516806

Least Common Multiple of 43,854,123 with GCF Formula

Least Common Multiple of 43,854,123 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 43,854,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,854,123) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,854,123) x common factors =1 x 1 = 1

LCM(43,854,123) = ( 43 × 854 × 123 ) / 1

LCM(43,854,123) = 4516806 / 1

LCM(43,854,123) = 4516806


Lets's calculate GCF of 525,518,812

7 525, 518, 812
75, 74, 116

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4516806/7

Therefore the LCM of Fractions 43/525,854/518,123/812 is 645258

Greatest Common Factor of 525,518,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,518,812 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 525,518,812 . The biggest common factor number is the GCF number.
So the greatest common factor 525,518,812 is 7.


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 43/525, 854/518, 123/812

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 43/525, 854/518, 123/812?

Answer: LCM of Numerators as per given numbers 43/525, 854/518, 123/812 is

LCM of Numerators i.e. for 43,854,123 is 4516806

GCF of denominators i.e. for 525,518,812 is 7.

Thus, LCM of Fractions is 645258.Finally, LCM of Fractions for 43/525, 854/518, 123/812 is 645258.