Least Common Multiple of 557/35, 300/7567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/35, 300/7567 quickly i.e. 167100/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/35, 300/7567 is 167100/7.

LCM(557/35, 300/7567) = 167100/7

LCM of 557/35, 300/7567

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 557/35,300/7567

Given numbers are 557/35,300/7567

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 557,300

Least Common Multiple of Numerators i.e. LCM of 557,300 is 167100.

GCF of Denominators means GCF of 35,7567 as per the given fractions.

GCF of 35,7567 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,300

LCM of Fractions 557/35,300/7567 is 167100/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 167100

Least Common Multiple of 557,300 with GCF Formula

Least Common Multiple of 557,300 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 557,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,300) = 1

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

GCF(557,300) x common factors =1 x 1 = 1

LCM(557,300) = ( 557 × 300 ) / 1

LCM(557,300) = 167100 / 1

LCM(557,300) = 167100


Lets's calculate GCF of 35,7567

7 35, 7567
5, 1081

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167100/7

Therefore the LCM of Fractions 557/35,300/7567 is 167100/7

Greatest Common Factor of 35,7567 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,7567 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 7567

List of positive integer factors of 7567 that divides 7567 without a remainder.

1,7,23,47,161,329,1081,7567

Greatest Common Factor

We found the factors 35,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7567 is 7.


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 557/35, 300/7567

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 557/35, 300/7567?

Answer: LCM of Numerators as per given numbers 557/35, 300/7567 is

LCM of Numerators i.e. for 557,300 is 167100

GCF of denominators i.e. for 35,7567 is 7.

Thus, LCM of Fractions is 167100/7.Finally, LCM of Fractions for 557/35, 300/7567 is 167100/7.