Least Common Multiple of 88/488, 88/175, 656/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/488, 88/175, 656/304 quickly i.e. 7216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/488, 88/175, 656/304 is 7216.

LCM(88/488, 88/175, 656/304) = 7216

LCM of 88/488, 88/175, 656/304

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 88/488,88/175,656/304

Given numbers are 88/488,88/175,656/304

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 88,88,656

Least Common Multiple of Numerators i.e. LCM of 88,88,656 is 7216.

GCF of Denominators means GCF of 488,175,304 as per the given fractions.

GCF of 488,175,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,88,656

LCM of Fractions 88/488,88/175,656/304 is 7216

2 88, 88, 656
2 44, 44, 328
2 22, 22, 164
11 11, 11, 82
1, 1, 82

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 1 x 82 = 7216

Least Common Multiple of 88,88,656 with GCF Formula

Least Common Multiple of 88,88,656 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 88,88,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,88,656) = 8

common factors(in case of two or more numbers have common factors) = 88

GCF(88,88,656) x common factors =8 x 88 = 704

LCM(88,88,656) = ( 88 × 88 × 656 ) / 704

LCM(88,88,656) = 5080064 / 704

LCM(88,88,656) = 7216


Lets's calculate GCF of 488,175,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7216/1

Therefore the LCM of Fractions 88/488,88/175,656/304 is 7216

Greatest Common Factor of 488,175,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,175,304 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 488,175,304 . The biggest common factor number is the GCF number.
So the greatest common factor 488,175,304 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 88/488, 88/175, 656/304

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 88/488, 88/175, 656/304?

Answer: LCM of Numerators as per given numbers 88/488, 88/175, 656/304 is

LCM of Numerators i.e. for 88,88,656 is 7216

GCF of denominators i.e. for 488,175,304 is 1.

Thus, LCM of Fractions is 7216.Finally, LCM of Fractions for 88/488, 88/175, 656/304 is 7216.