Least Common Multiple of 977/50, 922/75, 958/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/50, 922/75, 958/635 quickly i.e. 431480326/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/50, 922/75, 958/635 is 431480326/5.

LCM(977/50, 922/75, 958/635) = 431480326/5

LCM of 977/50, 922/75, 958/635

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 977/50,922/75,958/635

Given numbers are 977/50,922/75,958/635

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 977,922,958

Least Common Multiple of Numerators i.e. LCM of 977,922,958 is 431480326.

GCF of Denominators means GCF of 50,75,635 as per the given fractions.

GCF of 50,75,635 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,922,958

LCM of Fractions 977/50,922/75,958/635 is 431480326/5

2 977, 922, 958
977, 461, 479

∴ So the LCM of the given numbers is 2 x 977 x 461 x 479 = 431480326

Least Common Multiple of 977,922,958 with GCF Formula

Least Common Multiple of 977,922,958 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 977,922,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,922,958) = 1

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

GCF(977,922,958) x common factors =1 x 2 = 2

LCM(977,922,958) = ( 977 × 922 × 958 ) / 2

LCM(977,922,958) = 862960652 / 2

LCM(977,922,958) = 431480326


Lets's calculate GCF of 50,75,635

5 50, 75, 635
10, 15, 127

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431480326/5

Therefore the LCM of Fractions 977/50,922/75,958/635 is 431480326/5

Greatest Common Factor of 50,75,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,75,635 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 50,75,635 . The biggest common factor number is the GCF number.
So the greatest common factor 50,75,635 is 5.


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 977/50, 922/75, 958/635

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 977/50, 922/75, 958/635?

Answer: LCM of Numerators as per given numbers 977/50, 922/75, 958/635 is

LCM of Numerators i.e. for 977,922,958 is 431480326

GCF of denominators i.e. for 50,75,635 is 5.

Thus, LCM of Fractions is 431480326/5.Finally, LCM of Fractions for 977/50, 922/75, 958/635 is 431480326/5.