Least Common Multiple of 488/71, 252/93, 675/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/71, 252/93, 675/356 quickly i.e. 2305800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/71, 252/93, 675/356 is 2305800.

LCM(488/71, 252/93, 675/356) = 2305800

LCM of 488/71, 252/93, 675/356

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 488/71,252/93,675/356

Given numbers are 488/71,252/93,675/356

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 488,252,675

Least Common Multiple of Numerators i.e. LCM of 488,252,675 is 2305800.

GCF of Denominators means GCF of 71,93,356 as per the given fractions.

GCF of 71,93,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,252,675

LCM of Fractions 488/71,252/93,675/356 is 2305800

2 488, 252, 675
2 244, 126, 675
3 122, 63, 675
3 122, 21, 225
122, 7, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 122 x 7 x 75 = 2305800

Least Common Multiple of 488,252,675 with GCF Formula

Least Common Multiple of 488,252,675 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 488,252,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,252,675) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(488,252,675) x common factors =1 x 36 = 36

LCM(488,252,675) = ( 488 × 252 × 675 ) / 36

LCM(488,252,675) = 83008800 / 36

LCM(488,252,675) = 2305800


Lets's calculate GCF of 71,93,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2305800/1

Therefore the LCM of Fractions 488/71,252/93,675/356 is 2305800

Greatest Common Factor of 71,93,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,93,356 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 71,93,356 . The biggest common factor number is the GCF number.
So the greatest common factor 71,93,356 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 488/71, 252/93, 675/356

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 488/71, 252/93, 675/356?

Answer: LCM of Numerators as per given numbers 488/71, 252/93, 675/356 is

LCM of Numerators i.e. for 488,252,675 is 2305800

GCF of denominators i.e. for 71,93,356 is 1.

Thus, LCM of Fractions is 2305800.Finally, LCM of Fractions for 488/71, 252/93, 675/356 is 2305800.