Least Common Multiple of 34/420, 672/972, 731/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/420, 672/972, 731/768 quickly i.e. 40936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/420, 672/972, 731/768 is 40936.

LCM(34/420, 672/972, 731/768) = 40936

LCM of 34/420, 672/972, 731/768

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 34/420,672/972,731/768

Given numbers are 34/420,672/972,731/768

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 34,672,731

Least Common Multiple of Numerators i.e. LCM of 34,672,731 is 491232.

GCF of Denominators means GCF of 420,972,768 as per the given fractions.

GCF of 420,972,768 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,672,731

LCM of Fractions 34/420,672/972,731/768 is 40936

2 34, 672, 731
17 17, 336, 731
1, 336, 43

∴ So the LCM of the given numbers is 2 x 17 x 1 x 336 x 43 = 491232

Least Common Multiple of 34,672,731 with GCF Formula

Least Common Multiple of 34,672,731 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 34,672,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,672,731) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,672,731) x common factors =1 x 34 = 34

LCM(34,672,731) = ( 34 × 672 × 731 ) / 34

LCM(34,672,731) = 16701888 / 34

LCM(34,672,731) = 491232


Lets's calculate GCF of 420,972,768

2 420, 972, 768
2 210, 486, 384
3 105, 243, 192
35, 81, 64

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491232/12

Therefore the LCM of Fractions 34/420,672/972,731/768 is 40936

Greatest Common Factor of 420,972,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,972,768 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

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

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 420,972,768 . The biggest common factor number is the GCF number.
So the greatest common factor 420,972,768 is 12.


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 34/420, 672/972, 731/768

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 34/420, 672/972, 731/768?

Answer: LCM of Numerators as per given numbers 34/420, 672/972, 731/768 is

LCM of Numerators i.e. for 34,672,731 is 491232

GCF of denominators i.e. for 420,972,768 is 12.

Thus, LCM of Fractions is 40936.Finally, LCM of Fractions for 34/420, 672/972, 731/768 is 40936.