Least Common Multiple of 562/735, 299/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/735, 299/951 quickly i.e. 168038/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/735, 299/951 is 168038/3.

LCM(562/735, 299/951) = 168038/3

LCM of 562/735, 299/951

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 562/735,299/951

Given numbers are 562/735,299/951

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 562,299

Least Common Multiple of Numerators i.e. LCM of 562,299 is 168038.

GCF of Denominators means GCF of 735,951 as per the given fractions.

GCF of 735,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,299

LCM of Fractions 562/735,299/951 is 168038/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 168038

Least Common Multiple of 562,299 with GCF Formula

Least Common Multiple of 562,299 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 562,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,299) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(562,299) x common factors =1 x 1 = 1

LCM(562,299) = ( 562 × 299 ) / 1

LCM(562,299) = 168038 / 1

LCM(562,299) = 168038


Lets's calculate GCF of 735,951

3 735, 951
245, 317

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168038/3

Therefore the LCM of Fractions 562/735,299/951 is 168038/3

Greatest Common Factor of 735,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,951 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 735,951 . The biggest common factor number is the GCF number.
So the greatest common factor 735,951 is 3.


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 562/735, 299/951

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 562/735, 299/951?

Answer: LCM of Numerators as per given numbers 562/735, 299/951 is

LCM of Numerators i.e. for 562,299 is 168038

GCF of denominators i.e. for 735,951 is 3.

Thus, LCM of Fractions is 168038/3.Finally, LCM of Fractions for 562/735, 299/951 is 168038/3.