Least Common Multiple of 149/963, 958/804, 678/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/963, 958/804, 678/919 quickly i.e. 48389538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/963, 958/804, 678/919 is 48389538.

LCM(149/963, 958/804, 678/919) = 48389538

LCM of 149/963, 958/804, 678/919

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 149/963,958/804,678/919

Given numbers are 149/963,958/804,678/919

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 149,958,678

Least Common Multiple of Numerators i.e. LCM of 149,958,678 is 48389538.

GCF of Denominators means GCF of 963,804,919 as per the given fractions.

GCF of 963,804,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,958,678

LCM of Fractions 149/963,958/804,678/919 is 48389538

2 149, 958, 678
149, 479, 339

∴ So the LCM of the given numbers is 2 x 149 x 479 x 339 = 48389538

Least Common Multiple of 149,958,678 with GCF Formula

Least Common Multiple of 149,958,678 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 149,958,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,958,678) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(149,958,678) x common factors =1 x 2 = 2

LCM(149,958,678) = ( 149 × 958 × 678 ) / 2

LCM(149,958,678) = 96779076 / 2

LCM(149,958,678) = 48389538


Lets's calculate GCF of 963,804,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48389538/1

Therefore the LCM of Fractions 149/963,958/804,678/919 is 48389538

Greatest Common Factor of 963,804,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,804,919 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 963,804,919 . The biggest common factor number is the GCF number.
So the greatest common factor 963,804,919 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 149/963, 958/804, 678/919

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 149/963, 958/804, 678/919?

Answer: LCM of Numerators as per given numbers 149/963, 958/804, 678/919 is

LCM of Numerators i.e. for 149,958,678 is 48389538

GCF of denominators i.e. for 963,804,919 is 1.

Thus, LCM of Fractions is 48389538.Finally, LCM of Fractions for 149/963, 958/804, 678/919 is 48389538.