Least Common Multiple of 792/35, 767/59, 715/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/35, 767/59, 715/352 quickly i.e. 3037320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/35, 767/59, 715/352 is 3037320.

LCM(792/35, 767/59, 715/352) = 3037320

LCM of 792/35, 767/59, 715/352

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 792/35,767/59,715/352

Given numbers are 792/35,767/59,715/352

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 792,767,715

Least Common Multiple of Numerators i.e. LCM of 792,767,715 is 3037320.

GCF of Denominators means GCF of 35,59,352 as per the given fractions.

GCF of 35,59,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,767,715

LCM of Fractions 792/35,767/59,715/352 is 3037320

11 792, 767, 715
13 72, 767, 65
72, 59, 5

∴ So the LCM of the given numbers is 11 x 13 x 72 x 59 x 5 = 3037320

Least Common Multiple of 792,767,715 with GCF Formula

Least Common Multiple of 792,767,715 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 792,767,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,767,715) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(792,767,715) x common factors =1 x 143 = 143

LCM(792,767,715) = ( 792 × 767 × 715 ) / 143

LCM(792,767,715) = 434336760 / 143

LCM(792,767,715) = 3037320


Lets's calculate GCF of 35,59,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037320/1

Therefore the LCM of Fractions 792/35,767/59,715/352 is 3037320

Greatest Common Factor of 35,59,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,352 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 35,59,352 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,352 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 792/35, 767/59, 715/352

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 792/35, 767/59, 715/352?

Answer: LCM of Numerators as per given numbers 792/35, 767/59, 715/352 is

LCM of Numerators i.e. for 792,767,715 is 3037320

GCF of denominators i.e. for 35,59,352 is 1.

Thus, LCM of Fractions is 3037320.Finally, LCM of Fractions for 792/35, 767/59, 715/352 is 3037320.