Least Common Multiple of 557/301, 6791/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/301, 6791/140 quickly i.e. 3782587/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/301, 6791/140 is 3782587/7.

LCM(557/301, 6791/140) = 3782587/7

LCM of 557/301, 6791/140

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 557/301,6791/140

Given numbers are 557/301,6791/140

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 557,6791

Least Common Multiple of Numerators i.e. LCM of 557,6791 is 3782587.

GCF of Denominators means GCF of 301,140 as per the given fractions.

GCF of 301,140 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,6791

LCM of Fractions 557/301,6791/140 is 3782587/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 3782587

Least Common Multiple of 557,6791 with GCF Formula

Least Common Multiple of 557,6791 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 557,6791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,6791) = 1

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

GCF(557,6791) x common factors =1 x 1 = 1

LCM(557,6791) = ( 557 × 6791 ) / 1

LCM(557,6791) = 3782587 / 1

LCM(557,6791) = 3782587


Lets's calculate GCF of 301,140

7 301, 140
43, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3782587/7

Therefore the LCM of Fractions 557/301,6791/140 is 3782587/7

Greatest Common Factor of 301,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,140 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 301,140 . The biggest common factor number is the GCF number.
So the greatest common factor 301,140 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 557/301, 6791/140

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 557/301, 6791/140?

Answer: LCM of Numerators as per given numbers 557/301, 6791/140 is

LCM of Numerators i.e. for 557,6791 is 3782587

GCF of denominators i.e. for 301,140 is 7.

Thus, LCM of Fractions is 3782587/7.Finally, LCM of Fractions for 557/301, 6791/140 is 3782587/7.