Least Common Multiple of 28/96, 128/36, 677/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/96, 128/36, 677/376 quickly i.e. 151648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/96, 128/36, 677/376 is 151648.

LCM(28/96, 128/36, 677/376) = 151648

LCM of 28/96, 128/36, 677/376

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 28/96,128/36,677/376

Given numbers are 28/96,128/36,677/376

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 28,128,677

Least Common Multiple of Numerators i.e. LCM of 28,128,677 is 606592.

GCF of Denominators means GCF of 96,36,376 as per the given fractions.

GCF of 96,36,376 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,128,677

LCM of Fractions 28/96,128/36,677/376 is 151648

2 28, 128, 677
2 14, 64, 677
7, 32, 677

∴ So the LCM of the given numbers is 2 x 2 x 7 x 32 x 677 = 606592

Least Common Multiple of 28,128,677 with GCF Formula

Least Common Multiple of 28,128,677 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 28,128,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,128,677) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,128,677) x common factors =1 x 4 = 4

LCM(28,128,677) = ( 28 × 128 × 677 ) / 4

LCM(28,128,677) = 2426368 / 4

LCM(28,128,677) = 606592


Lets's calculate GCF of 96,36,376

2 96, 36, 376
2 48, 18, 188
24, 9, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606592/4

Therefore the LCM of Fractions 28/96,128/36,677/376 is 151648

Greatest Common Factor of 96,36,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,36,376 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 96,36,376 . The biggest common factor number is the GCF number.
So the greatest common factor 96,36,376 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 28/96, 128/36, 677/376

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 28/96, 128/36, 677/376?

Answer: LCM of Numerators as per given numbers 28/96, 128/36, 677/376 is

LCM of Numerators i.e. for 28,128,677 is 606592

GCF of denominators i.e. for 96,36,376 is 4.

Thus, LCM of Fractions is 151648.Finally, LCM of Fractions for 28/96, 128/36, 677/376 is 151648.