Least Common Multiple of 87/718, 770/935, 351/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/718, 770/935, 351/893 quickly i.e. 7837830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/718, 770/935, 351/893 is 7837830.

LCM(87/718, 770/935, 351/893) = 7837830

LCM of 87/718, 770/935, 351/893

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 87/718,770/935,351/893

Given numbers are 87/718,770/935,351/893

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 87,770,351

Least Common Multiple of Numerators i.e. LCM of 87,770,351 is 7837830.

GCF of Denominators means GCF of 718,935,893 as per the given fractions.

GCF of 718,935,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,770,351

LCM of Fractions 87/718,770/935,351/893 is 7837830

3 87, 770, 351
29, 770, 117

∴ So the LCM of the given numbers is 3 x 29 x 770 x 117 = 7837830

Least Common Multiple of 87,770,351 with GCF Formula

Least Common Multiple of 87,770,351 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 87,770,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,770,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,770,351) x common factors =1 x 3 = 3

LCM(87,770,351) = ( 87 × 770 × 351 ) / 3

LCM(87,770,351) = 23513490 / 3

LCM(87,770,351) = 7837830


Lets's calculate GCF of 718,935,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7837830/1

Therefore the LCM of Fractions 87/718,770/935,351/893 is 7837830

Greatest Common Factor of 718,935,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,935,893 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 718,935,893 . The biggest common factor number is the GCF number.
So the greatest common factor 718,935,893 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 87/718, 770/935, 351/893

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 87/718, 770/935, 351/893?

Answer: LCM of Numerators as per given numbers 87/718, 770/935, 351/893 is

LCM of Numerators i.e. for 87,770,351 is 7837830

GCF of denominators i.e. for 718,935,893 is 1.

Thus, LCM of Fractions is 7837830.Finally, LCM of Fractions for 87/718, 770/935, 351/893 is 7837830.