Least Common Multiple of 88/524, 42/185, 971/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/524, 42/185, 971/773 quickly i.e. 1794408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/524, 42/185, 971/773 is 1794408.

LCM(88/524, 42/185, 971/773) = 1794408

LCM of 88/524, 42/185, 971/773

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 88/524,42/185,971/773

Given numbers are 88/524,42/185,971/773

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 88,42,971

Least Common Multiple of Numerators i.e. LCM of 88,42,971 is 1794408.

GCF of Denominators means GCF of 524,185,773 as per the given fractions.

GCF of 524,185,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,42,971

LCM of Fractions 88/524,42/185,971/773 is 1794408

2 88, 42, 971
44, 21, 971

∴ So the LCM of the given numbers is 2 x 44 x 21 x 971 = 1794408

Least Common Multiple of 88,42,971 with GCF Formula

Least Common Multiple of 88,42,971 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 88,42,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,42,971) = 1

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

GCF(88,42,971) x common factors =1 x 2 = 2

LCM(88,42,971) = ( 88 × 42 × 971 ) / 2

LCM(88,42,971) = 3588816 / 2

LCM(88,42,971) = 1794408


Lets's calculate GCF of 524,185,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1794408/1

Therefore the LCM of Fractions 88/524,42/185,971/773 is 1794408

Greatest Common Factor of 524,185,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,185,773 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 524,185,773 . The biggest common factor number is the GCF number.
So the greatest common factor 524,185,773 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 88/524, 42/185, 971/773

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 88/524, 42/185, 971/773?

Answer: LCM of Numerators as per given numbers 88/524, 42/185, 971/773 is

LCM of Numerators i.e. for 88,42,971 is 1794408

GCF of denominators i.e. for 524,185,773 is 1.

Thus, LCM of Fractions is 1794408.Finally, LCM of Fractions for 88/524, 42/185, 971/773 is 1794408.