Least Common Multiple of 88/782, 855/693, 520/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/782, 855/693, 520/207 quickly i.e. 978120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/782, 855/693, 520/207 is 978120.

LCM(88/782, 855/693, 520/207) = 978120

LCM of 88/782, 855/693, 520/207

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 88/782,855/693,520/207

Given numbers are 88/782,855/693,520/207

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 88,855,520

Least Common Multiple of Numerators i.e. LCM of 88,855,520 is 978120.

GCF of Denominators means GCF of 782,693,207 as per the given fractions.

GCF of 782,693,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,855,520

LCM of Fractions 88/782,855/693,520/207 is 978120

2 88, 855, 520
2 44, 855, 260
2 22, 855, 130
5 11, 855, 65
11, 171, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 171 x 13 = 978120

Least Common Multiple of 88,855,520 with GCF Formula

Least Common Multiple of 88,855,520 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 88,855,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,855,520) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(88,855,520) x common factors =1 x 40 = 40

LCM(88,855,520) = ( 88 × 855 × 520 ) / 40

LCM(88,855,520) = 39124800 / 40

LCM(88,855,520) = 978120


Lets's calculate GCF of 782,693,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 978120/1

Therefore the LCM of Fractions 88/782,855/693,520/207 is 978120

Greatest Common Factor of 782,693,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,693,207 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 782,693,207 . The biggest common factor number is the GCF number.
So the greatest common factor 782,693,207 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 88/782, 855/693, 520/207

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 88/782, 855/693, 520/207?

Answer: LCM of Numerators as per given numbers 88/782, 855/693, 520/207 is

LCM of Numerators i.e. for 88,855,520 is 978120

GCF of denominators i.e. for 782,693,207 is 1.

Thus, LCM of Fractions is 978120.Finally, LCM of Fractions for 88/782, 855/693, 520/207 is 978120.