Least Common Multiple of 77/48, 28/466, 896/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/48, 28/466, 896/120 quickly i.e. 4928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/48, 28/466, 896/120 is 4928.

LCM(77/48, 28/466, 896/120) = 4928

LCM of 77/48, 28/466, 896/120

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 77/48,28/466,896/120

Given numbers are 77/48,28/466,896/120

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 77,28,896

Least Common Multiple of Numerators i.e. LCM of 77,28,896 is 9856.

GCF of Denominators means GCF of 48,466,120 as per the given fractions.

GCF of 48,466,120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,28,896

LCM of Fractions 77/48,28/466,896/120 is 4928

2 77, 28, 896
2 77, 14, 448
7 77, 7, 224
11, 1, 32

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 1 x 32 = 9856

Least Common Multiple of 77,28,896 with GCF Formula

Least Common Multiple of 77,28,896 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 77,28,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,28,896) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(77,28,896) x common factors =7 x 28 = 196

LCM(77,28,896) = ( 77 × 28 × 896 ) / 196

LCM(77,28,896) = 1931776 / 196

LCM(77,28,896) = 9856


Lets's calculate GCF of 48,466,120

2 48, 466, 120
24, 233, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9856/2

Therefore the LCM of Fractions 77/48,28/466,896/120 is 4928

Greatest Common Factor of 48,466,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,466,120 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 48,466,120 . The biggest common factor number is the GCF number.
So the greatest common factor 48,466,120 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 77/48, 28/466, 896/120

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 77/48, 28/466, 896/120?

Answer: LCM of Numerators as per given numbers 77/48, 28/466, 896/120 is

LCM of Numerators i.e. for 77,28,896 is 9856

GCF of denominators i.e. for 48,466,120 is 2.

Thus, LCM of Fractions is 4928.Finally, LCM of Fractions for 77/48, 28/466, 896/120 is 4928.