Least Common Multiple of 408/94, 688/72, 634/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/94, 688/72, 634/928 quickly i.e. 5561448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/94, 688/72, 634/928 is 5561448.

LCM(408/94, 688/72, 634/928) = 5561448

LCM of 408/94, 688/72, 634/928

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 408/94,688/72,634/928

Given numbers are 408/94,688/72,634/928

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 408,688,634

Least Common Multiple of Numerators i.e. LCM of 408,688,634 is 11122896.

GCF of Denominators means GCF of 94,72,928 as per the given fractions.

GCF of 94,72,928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,688,634

LCM of Fractions 408/94,688/72,634/928 is 5561448

2 408, 688, 634
2 204, 344, 317
2 102, 172, 317
51, 86, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 51 x 86 x 317 = 11122896

Least Common Multiple of 408,688,634 with GCF Formula

Least Common Multiple of 408,688,634 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 408,688,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,688,634) = 2

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

GCF(408,688,634) x common factors =2 x 8 = 16

LCM(408,688,634) = ( 408 × 688 × 634 ) / 16

LCM(408,688,634) = 177966336 / 16

LCM(408,688,634) = 11122896


Lets's calculate GCF of 94,72,928

2 94, 72, 928
47, 36, 464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11122896/2

Therefore the LCM of Fractions 408/94,688/72,634/928 is 5561448

Greatest Common Factor of 94,72,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,72,928 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 94,72,928 . The biggest common factor number is the GCF number.
So the greatest common factor 94,72,928 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 408/94, 688/72, 634/928

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 408/94, 688/72, 634/928?

Answer: LCM of Numerators as per given numbers 408/94, 688/72, 634/928 is

LCM of Numerators i.e. for 408,688,634 is 11122896

GCF of denominators i.e. for 94,72,928 is 2.

Thus, LCM of Fractions is 5561448.Finally, LCM of Fractions for 408/94, 688/72, 634/928 is 5561448.