Least Common Multiple of 735/757, 511/535, 517/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/757, 511/535, 517/162 quickly i.e. 27739635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/757, 511/535, 517/162 is 27739635.

LCM(735/757, 511/535, 517/162) = 27739635

LCM of 735/757, 511/535, 517/162

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 735/757,511/535,517/162

Given numbers are 735/757,511/535,517/162

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 735,511,517

Least Common Multiple of Numerators i.e. LCM of 735,511,517 is 27739635.

GCF of Denominators means GCF of 757,535,162 as per the given fractions.

GCF of 757,535,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,511,517

LCM of Fractions 735/757,511/535,517/162 is 27739635

7 735, 511, 517
105, 73, 517

∴ So the LCM of the given numbers is 7 x 105 x 73 x 517 = 27739635

Least Common Multiple of 735,511,517 with GCF Formula

Least Common Multiple of 735,511,517 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 735,511,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,511,517) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(735,511,517) x common factors =1 x 7 = 7

LCM(735,511,517) = ( 735 × 511 × 517 ) / 7

LCM(735,511,517) = 194177445 / 7

LCM(735,511,517) = 27739635


Lets's calculate GCF of 757,535,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27739635/1

Therefore the LCM of Fractions 735/757,511/535,517/162 is 27739635

Greatest Common Factor of 757,535,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,535,162 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 757,535,162 . The biggest common factor number is the GCF number.
So the greatest common factor 757,535,162 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 735/757, 511/535, 517/162

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 735/757, 511/535, 517/162?

Answer: LCM of Numerators as per given numbers 735/757, 511/535, 517/162 is

LCM of Numerators i.e. for 735,511,517 is 27739635

GCF of denominators i.e. for 757,535,162 is 1.

Thus, LCM of Fractions is 27739635.Finally, LCM of Fractions for 735/757, 511/535, 517/162 is 27739635.