Least Common Multiple of 88/573, 59/984, 312/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/573, 59/984, 312/314 quickly i.e. 202488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/573, 59/984, 312/314 is 202488.

LCM(88/573, 59/984, 312/314) = 202488

LCM of 88/573, 59/984, 312/314

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 88/573,59/984,312/314

Given numbers are 88/573,59/984,312/314

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 88,59,312

Least Common Multiple of Numerators i.e. LCM of 88,59,312 is 202488.

GCF of Denominators means GCF of 573,984,314 as per the given fractions.

GCF of 573,984,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,59,312

LCM of Fractions 88/573,59/984,312/314 is 202488

2 88, 59, 312
2 44, 59, 156
2 22, 59, 78
11, 59, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 59 x 39 = 202488

Least Common Multiple of 88,59,312 with GCF Formula

Least Common Multiple of 88,59,312 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 88,59,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,59,312) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(88,59,312) x common factors =1 x 8 = 8

LCM(88,59,312) = ( 88 × 59 × 312 ) / 8

LCM(88,59,312) = 1619904 / 8

LCM(88,59,312) = 202488


Lets's calculate GCF of 573,984,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202488/1

Therefore the LCM of Fractions 88/573,59/984,312/314 is 202488

Greatest Common Factor of 573,984,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,984,314 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 573,984,314 . The biggest common factor number is the GCF number.
So the greatest common factor 573,984,314 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 88/573, 59/984, 312/314

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 88/573, 59/984, 312/314?

Answer: LCM of Numerators as per given numbers 88/573, 59/984, 312/314 is

LCM of Numerators i.e. for 88,59,312 is 202488

GCF of denominators i.e. for 573,984,314 is 1.

Thus, LCM of Fractions is 202488.Finally, LCM of Fractions for 88/573, 59/984, 312/314 is 202488.