Least Common Multiple of 78/188, 449/938, 748/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/188, 449/938, 748/616 quickly i.e. 6549114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/188, 449/938, 748/616 is 6549114.

LCM(78/188, 449/938, 748/616) = 6549114

LCM of 78/188, 449/938, 748/616

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 78/188,449/938,748/616

Given numbers are 78/188,449/938,748/616

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 78,449,748

Least Common Multiple of Numerators i.e. LCM of 78,449,748 is 13098228.

GCF of Denominators means GCF of 188,938,616 as per the given fractions.

GCF of 188,938,616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,449,748

LCM of Fractions 78/188,449/938,748/616 is 6549114

2 78, 449, 748
39, 449, 374

∴ So the LCM of the given numbers is 2 x 39 x 449 x 374 = 13098228

Least Common Multiple of 78,449,748 with GCF Formula

Least Common Multiple of 78,449,748 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 78,449,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,449,748) = 1

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

GCF(78,449,748) x common factors =1 x 2 = 2

LCM(78,449,748) = ( 78 × 449 × 748 ) / 2

LCM(78,449,748) = 26196456 / 2

LCM(78,449,748) = 13098228


Lets's calculate GCF of 188,938,616

2 188, 938, 616
94, 469, 308

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13098228/2

Therefore the LCM of Fractions 78/188,449/938,748/616 is 6549114

Greatest Common Factor of 188,938,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,938,616 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 188,938,616 . The biggest common factor number is the GCF number.
So the greatest common factor 188,938,616 is 2.


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 78/188, 449/938, 748/616

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 78/188, 449/938, 748/616?

Answer: LCM of Numerators as per given numbers 78/188, 449/938, 748/616 is

LCM of Numerators i.e. for 78,449,748 is 13098228

GCF of denominators i.e. for 188,938,616 is 2.

Thus, LCM of Fractions is 6549114.Finally, LCM of Fractions for 78/188, 449/938, 748/616 is 6549114.