Least Common Multiple of 4968/254, 3888/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4968/254, 3888/176 quickly i.e. 44712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4968/254, 3888/176 is 44712.

LCM(4968/254, 3888/176) = 44712

LCM of 4968/254, 3888/176

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 4968/254,3888/176

Given numbers are 4968/254,3888/176

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 4968,3888

Least Common Multiple of Numerators i.e. LCM of 4968,3888 is 89424.

GCF of Denominators means GCF of 254,176 as per the given fractions.

GCF of 254,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4968,3888

LCM of Fractions 4968/254,3888/176 is 44712

2 4968, 3888
2 2484, 1944
2 1242, 972
3 621, 486
3 207, 162
3 69, 54
23, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 23 x 18 = 89424

Least Common Multiple of 4968,3888 with GCF Formula

Least Common Multiple of 4968,3888 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 4968,3888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4968,3888) = 216

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

GCF(4968,3888) x common factors =216 x 1 = 216

LCM(4968,3888) = ( 4968 × 3888 ) / 216

LCM(4968,3888) = 19315584 / 216

LCM(4968,3888) = 89424


Lets's calculate GCF of 254,176

2 254, 176
127, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89424/2

Therefore the LCM of Fractions 4968/254,3888/176 is 44712

Greatest Common Factor of 254,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,176 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 254,176 . The biggest common factor number is the GCF number.
So the greatest common factor 254,176 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 4968/254, 3888/176

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 4968/254, 3888/176?

Answer: LCM of Numerators as per given numbers 4968/254, 3888/176 is

LCM of Numerators i.e. for 4968,3888 is 89424

GCF of denominators i.e. for 254,176 is 2.

Thus, LCM of Fractions is 44712.Finally, LCM of Fractions for 4968/254, 3888/176 is 44712.