Least Common Multiple of 964/75, 214/50, 597/47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/75, 214/50, 597/47 quickly i.e. 61579356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/75, 214/50, 597/47 is 61579356.

LCM(964/75, 214/50, 597/47) = 61579356

LCM of 964/75, 214/50, 597/47

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 964/75,214/50,597/47

Given numbers are 964/75,214/50,597/47

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 964,214,597

Least Common Multiple of Numerators i.e. LCM of 964,214,597 is 61579356.

GCF of Denominators means GCF of 75,50,47 as per the given fractions.

GCF of 75,50,47 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,214,597

LCM of Fractions 964/75,214/50,597/47 is 61579356

2 964, 214, 597
482, 107, 597

∴ So the LCM of the given numbers is 2 x 482 x 107 x 597 = 61579356

Least Common Multiple of 964,214,597 with GCF Formula

Least Common Multiple of 964,214,597 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 964,214,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,214,597) = 1

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

GCF(964,214,597) x common factors =1 x 2 = 2

LCM(964,214,597) = ( 964 × 214 × 597 ) / 2

LCM(964,214,597) = 123158712 / 2

LCM(964,214,597) = 61579356


Lets's calculate GCF of 75,50,47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61579356/1

Therefore the LCM of Fractions 964/75,214/50,597/47 is 61579356

Greatest Common Factor of 75,50,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,50,47 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 50

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

1,2,5,10,25,50

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 75,50,47 . The biggest common factor number is the GCF number.
So the greatest common factor 75,50,47 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 964/75, 214/50, 597/47

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 964/75, 214/50, 597/47?

Answer: LCM of Numerators as per given numbers 964/75, 214/50, 597/47 is

LCM of Numerators i.e. for 964,214,597 is 61579356

GCF of denominators i.e. for 75,50,47 is 1.

Thus, LCM of Fractions is 61579356.Finally, LCM of Fractions for 964/75, 214/50, 597/47 is 61579356.