Least Common Multiple of 4954/48, 1584/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4954/48, 1584/776 quickly i.e. 490446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4954/48, 1584/776 is 490446.

LCM(4954/48, 1584/776) = 490446

LCM of 4954/48, 1584/776

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 4954/48,1584/776

Given numbers are 4954/48,1584/776

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 4954,1584

Least Common Multiple of Numerators i.e. LCM of 4954,1584 is 3923568.

GCF of Denominators means GCF of 48,776 as per the given fractions.

GCF of 48,776 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4954,1584

LCM of Fractions 4954/48,1584/776 is 490446

2 4954, 1584
2477, 792

∴ So the LCM of the given numbers is 2 x 2477 x 792 = 3923568

Least Common Multiple of 4954,1584 with GCF Formula

Least Common Multiple of 4954,1584 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 4954,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4954,1584) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(4954,1584) x common factors =2 x 1 = 2

LCM(4954,1584) = ( 4954 × 1584 ) / 2

LCM(4954,1584) = 7847136 / 2

LCM(4954,1584) = 3923568


Lets's calculate GCF of 48,776

2 48, 776
2 24, 388
2 12, 194
6, 97

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3923568/8

Therefore the LCM of Fractions 4954/48,1584/776 is 490446

Greatest Common Factor of 48,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,776 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 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 48,776 . The biggest common factor number is the GCF number.
So the greatest common factor 48,776 is 8.


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 4954/48, 1584/776

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 4954/48, 1584/776?

Answer: LCM of Numerators as per given numbers 4954/48, 1584/776 is

LCM of Numerators i.e. for 4954,1584 is 3923568

GCF of denominators i.e. for 48,776 is 8.

Thus, LCM of Fractions is 490446.Finally, LCM of Fractions for 4954/48, 1584/776 is 490446.