Least Common Multiple of 975/43, 949/83, 421/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/43, 949/83, 421/923 quickly i.e. 29964675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/43, 949/83, 421/923 is 29964675.

LCM(975/43, 949/83, 421/923) = 29964675

LCM of 975/43, 949/83, 421/923

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 975/43,949/83,421/923

Given numbers are 975/43,949/83,421/923

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 975,949,421

Least Common Multiple of Numerators i.e. LCM of 975,949,421 is 29964675.

GCF of Denominators means GCF of 43,83,923 as per the given fractions.

GCF of 43,83,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,949,421

LCM of Fractions 975/43,949/83,421/923 is 29964675

13 975, 949, 421
75, 73, 421

∴ So the LCM of the given numbers is 13 x 75 x 73 x 421 = 29964675

Least Common Multiple of 975,949,421 with GCF Formula

Least Common Multiple of 975,949,421 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 975,949,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,949,421) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(975,949,421) x common factors =1 x 13 = 13

LCM(975,949,421) = ( 975 × 949 × 421 ) / 13

LCM(975,949,421) = 389540775 / 13

LCM(975,949,421) = 29964675


Lets's calculate GCF of 43,83,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29964675/1

Therefore the LCM of Fractions 975/43,949/83,421/923 is 29964675

Greatest Common Factor of 43,83,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,83,923 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 43,83,923 . The biggest common factor number is the GCF number.
So the greatest common factor 43,83,923 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 975/43, 949/83, 421/923

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 975/43, 949/83, 421/923?

Answer: LCM of Numerators as per given numbers 975/43, 949/83, 421/923 is

LCM of Numerators i.e. for 975,949,421 is 29964675

GCF of denominators i.e. for 43,83,923 is 1.

Thus, LCM of Fractions is 29964675.Finally, LCM of Fractions for 975/43, 949/83, 421/923 is 29964675.