Least Common Multiple of 29/307, 276/941, 320/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/307, 276/941, 320/972 quickly i.e. 640320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/307, 276/941, 320/972 is 640320.

LCM(29/307, 276/941, 320/972) = 640320

LCM of 29/307, 276/941, 320/972

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 29/307,276/941,320/972

Given numbers are 29/307,276/941,320/972

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 29,276,320

Least Common Multiple of Numerators i.e. LCM of 29,276,320 is 640320.

GCF of Denominators means GCF of 307,941,972 as per the given fractions.

GCF of 307,941,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,276,320

LCM of Fractions 29/307,276/941,320/972 is 640320

2 29, 276, 320
2 29, 138, 160
29, 69, 80

∴ So the LCM of the given numbers is 2 x 2 x 29 x 69 x 80 = 640320

Least Common Multiple of 29,276,320 with GCF Formula

Least Common Multiple of 29,276,320 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 29,276,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,276,320) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(29,276,320) x common factors =1 x 4 = 4

LCM(29,276,320) = ( 29 × 276 × 320 ) / 4

LCM(29,276,320) = 2561280 / 4

LCM(29,276,320) = 640320


Lets's calculate GCF of 307,941,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640320/1

Therefore the LCM of Fractions 29/307,276/941,320/972 is 640320

Greatest Common Factor of 307,941,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,941,972 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 307,941,972 . The biggest common factor number is the GCF number.
So the greatest common factor 307,941,972 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 29/307, 276/941, 320/972

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 29/307, 276/941, 320/972?

Answer: LCM of Numerators as per given numbers 29/307, 276/941, 320/972 is

LCM of Numerators i.e. for 29,276,320 is 640320

GCF of denominators i.e. for 307,941,972 is 1.

Thus, LCM of Fractions is 640320.Finally, LCM of Fractions for 29/307, 276/941, 320/972 is 640320.