Least Common Multiple of 149/823, 353/344, 877/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/823, 353/344, 877/124 quickly i.e. 46127569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/823, 353/344, 877/124 is 46127569.

LCM(149/823, 353/344, 877/124) = 46127569

LCM of 149/823, 353/344, 877/124

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 149/823,353/344,877/124

Given numbers are 149/823,353/344,877/124

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 149,353,877

Least Common Multiple of Numerators i.e. LCM of 149,353,877 is 46127569.

GCF of Denominators means GCF of 823,344,124 as per the given fractions.

GCF of 823,344,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,353,877

LCM of Fractions 149/823,353/344,877/124 is 46127569

Given numbers has no common factors except 1. So, there LCM is their product i.e 46127569

Least Common Multiple of 149,353,877 with GCF Formula

Least Common Multiple of 149,353,877 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 149,353,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,353,877) = 1

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

GCF(149,353,877) x common factors =1 x 1 = 1

LCM(149,353,877) = ( 149 × 353 × 877 ) / 1

LCM(149,353,877) = 46127569 / 1

LCM(149,353,877) = 46127569


Lets's calculate GCF of 823,344,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46127569/1

Therefore the LCM of Fractions 149/823,353/344,877/124 is 46127569

Greatest Common Factor of 823,344,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,344,124 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 823,344,124 . The biggest common factor number is the GCF number.
So the greatest common factor 823,344,124 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 149/823, 353/344, 877/124

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 149/823, 353/344, 877/124?

Answer: LCM of Numerators as per given numbers 149/823, 353/344, 877/124 is

LCM of Numerators i.e. for 149,353,877 is 46127569

GCF of denominators i.e. for 823,344,124 is 1.

Thus, LCM of Fractions is 46127569.Finally, LCM of Fractions for 149/823, 353/344, 877/124 is 46127569.