Least Common Multiple of 614/204, 374/988, 996/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/204, 374/988, 996/928 quickly i.e. 14294841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/204, 374/988, 996/928 is 14294841.

LCM(614/204, 374/988, 996/928) = 14294841

LCM of 614/204, 374/988, 996/928

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 614/204,374/988,996/928

Given numbers are 614/204,374/988,996/928

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 614,374,996

Least Common Multiple of Numerators i.e. LCM of 614,374,996 is 57179364.

GCF of Denominators means GCF of 204,988,928 as per the given fractions.

GCF of 204,988,928 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,374,996

LCM of Fractions 614/204,374/988,996/928 is 14294841

2 614, 374, 996
307, 187, 498

∴ So the LCM of the given numbers is 2 x 307 x 187 x 498 = 57179364

Least Common Multiple of 614,374,996 with GCF Formula

Least Common Multiple of 614,374,996 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 614,374,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,374,996) = 2

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

GCF(614,374,996) x common factors =2 x 2 = 4

LCM(614,374,996) = ( 614 × 374 × 996 ) / 4

LCM(614,374,996) = 228717456 / 4

LCM(614,374,996) = 57179364


Lets's calculate GCF of 204,988,928

2 204, 988, 928
2 102, 494, 464
51, 247, 232

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57179364/4

Therefore the LCM of Fractions 614/204,374/988,996/928 is 14294841

Greatest Common Factor of 204,988,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,988,928 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

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 204,988,928 . The biggest common factor number is the GCF number.
So the greatest common factor 204,988,928 is 4.


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 614/204, 374/988, 996/928

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 614/204, 374/988, 996/928?

Answer: LCM of Numerators as per given numbers 614/204, 374/988, 996/928 is

LCM of Numerators i.e. for 614,374,996 is 57179364

GCF of denominators i.e. for 204,988,928 is 4.

Thus, LCM of Fractions is 14294841.Finally, LCM of Fractions for 614/204, 374/988, 996/928 is 14294841.