Least Common Multiple of 72/964, 413/769, 413/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/964, 413/769, 413/534 quickly i.e. 29736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/964, 413/769, 413/534 is 29736.

LCM(72/964, 413/769, 413/534) = 29736

LCM of 72/964, 413/769, 413/534

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 72/964,413/769,413/534

Given numbers are 72/964,413/769,413/534

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 72,413,413

Least Common Multiple of Numerators i.e. LCM of 72,413,413 is 29736.

GCF of Denominators means GCF of 964,769,534 as per the given fractions.

GCF of 964,769,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,413,413

LCM of Fractions 72/964,413/769,413/534 is 29736

7 72, 413, 413
59 72, 59, 59
72, 1, 1

∴ So the LCM of the given numbers is 7 x 59 x 72 x 1 x 1 = 29736

Least Common Multiple of 72,413,413 with GCF Formula

Least Common Multiple of 72,413,413 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 72,413,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,413,413) = 1

common factors(in case of two or more numbers have common factors) = 413

GCF(72,413,413) x common factors =1 x 413 = 413

LCM(72,413,413) = ( 72 × 413 × 413 ) / 413

LCM(72,413,413) = 12280968 / 413

LCM(72,413,413) = 29736


Lets's calculate GCF of 964,769,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29736/1

Therefore the LCM of Fractions 72/964,413/769,413/534 is 29736

Greatest Common Factor of 964,769,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,769,534 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 964,769,534 . The biggest common factor number is the GCF number.
So the greatest common factor 964,769,534 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 72/964, 413/769, 413/534

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 72/964, 413/769, 413/534?

Answer: LCM of Numerators as per given numbers 72/964, 413/769, 413/534 is

LCM of Numerators i.e. for 72,413,413 is 29736

GCF of denominators i.e. for 964,769,534 is 1.

Thus, LCM of Fractions is 29736.Finally, LCM of Fractions for 72/964, 413/769, 413/534 is 29736.