Least Common Multiple of 540/695, 5435/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/695, 5435/424 quickly i.e. 586980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/695, 5435/424 is 586980.

LCM(540/695, 5435/424) = 586980

LCM of 540/695, 5435/424

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 540/695,5435/424

Given numbers are 540/695,5435/424

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 540,5435

Least Common Multiple of Numerators i.e. LCM of 540,5435 is 586980.

GCF of Denominators means GCF of 695,424 as per the given fractions.

GCF of 695,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,5435

LCM of Fractions 540/695,5435/424 is 586980

5 540, 5435
108, 1087

∴ So the LCM of the given numbers is 5 x 108 x 1087 = 586980

Least Common Multiple of 540,5435 with GCF Formula

Least Common Multiple of 540,5435 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 540,5435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,5435) = 5

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

GCF(540,5435) x common factors =5 x 1 = 5

LCM(540,5435) = ( 540 × 5435 ) / 5

LCM(540,5435) = 2934900 / 5

LCM(540,5435) = 586980


Lets's calculate GCF of 695,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586980/1

Therefore the LCM of Fractions 540/695,5435/424 is 586980

Greatest Common Factor of 695,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,424 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 695,424 . The biggest common factor number is the GCF number.
So the greatest common factor 695,424 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 540/695, 5435/424

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 540/695, 5435/424?

Answer: LCM of Numerators as per given numbers 540/695, 5435/424 is

LCM of Numerators i.e. for 540,5435 is 586980

GCF of denominators i.e. for 695,424 is 1.

Thus, LCM of Fractions is 586980.Finally, LCM of Fractions for 540/695, 5435/424 is 586980.