Least Common Multiple of 87/992, 74/859, 121/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/992, 74/859, 121/928 quickly i.e. 778998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/992, 74/859, 121/928 is 778998.

LCM(87/992, 74/859, 121/928) = 778998

LCM of 87/992, 74/859, 121/928

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 87/992,74/859,121/928

Given numbers are 87/992,74/859,121/928

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 87,74,121

Least Common Multiple of Numerators i.e. LCM of 87,74,121 is 778998.

GCF of Denominators means GCF of 992,859,928 as per the given fractions.

GCF of 992,859,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,74,121

LCM of Fractions 87/992,74/859,121/928 is 778998

Given numbers has no common factors except 1. So, there LCM is their product i.e 778998

Least Common Multiple of 87,74,121 with GCF Formula

Least Common Multiple of 87,74,121 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 87,74,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,74,121) = 1

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

GCF(87,74,121) x common factors =1 x 1 = 1

LCM(87,74,121) = ( 87 × 74 × 121 ) / 1

LCM(87,74,121) = 778998 / 1

LCM(87,74,121) = 778998


Lets's calculate GCF of 992,859,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 778998/1

Therefore the LCM of Fractions 87/992,74/859,121/928 is 778998

Greatest Common Factor of 992,859,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,859,928 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 992,859,928 . The biggest common factor number is the GCF number.
So the greatest common factor 992,859,928 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 87/992, 74/859, 121/928

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 87/992, 74/859, 121/928?

Answer: LCM of Numerators as per given numbers 87/992, 74/859, 121/928 is

LCM of Numerators i.e. for 87,74,121 is 778998

GCF of denominators i.e. for 992,859,928 is 1.

Thus, LCM of Fractions is 778998.Finally, LCM of Fractions for 87/992, 74/859, 121/928 is 778998.