Least Common Multiple of 70/808, 82/291, 731/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/808, 82/291, 731/577 quickly i.e. 2097970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/808, 82/291, 731/577 is 2097970.

LCM(70/808, 82/291, 731/577) = 2097970

LCM of 70/808, 82/291, 731/577

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 70/808,82/291,731/577

Given numbers are 70/808,82/291,731/577

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 70,82,731

Least Common Multiple of Numerators i.e. LCM of 70,82,731 is 2097970.

GCF of Denominators means GCF of 808,291,577 as per the given fractions.

GCF of 808,291,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,82,731

LCM of Fractions 70/808,82/291,731/577 is 2097970

2 70, 82, 731
35, 41, 731

∴ So the LCM of the given numbers is 2 x 35 x 41 x 731 = 2097970

Least Common Multiple of 70,82,731 with GCF Formula

Least Common Multiple of 70,82,731 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 70,82,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,82,731) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(70,82,731) x common factors =1 x 2 = 2

LCM(70,82,731) = ( 70 × 82 × 731 ) / 2

LCM(70,82,731) = 4195940 / 2

LCM(70,82,731) = 2097970


Lets's calculate GCF of 808,291,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2097970/1

Therefore the LCM of Fractions 70/808,82/291,731/577 is 2097970

Greatest Common Factor of 808,291,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,291,577 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 808,291,577 . The biggest common factor number is the GCF number.
So the greatest common factor 808,291,577 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/808, 82/291, 731/577

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 70/808, 82/291, 731/577?

Answer: LCM of Numerators as per given numbers 70/808, 82/291, 731/577 is

LCM of Numerators i.e. for 70,82,731 is 2097970

GCF of denominators i.e. for 808,291,577 is 1.

Thus, LCM of Fractions is 2097970.Finally, LCM of Fractions for 70/808, 82/291, 731/577 is 2097970.