Least Common Multiple of 44/448, 96/262, 895/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/448, 96/262, 895/152 quickly i.e. 472560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/448, 96/262, 895/152 is 472560.

LCM(44/448, 96/262, 895/152) = 472560

LCM of 44/448, 96/262, 895/152

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 44/448,96/262,895/152

Given numbers are 44/448,96/262,895/152

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 44,96,895

Least Common Multiple of Numerators i.e. LCM of 44,96,895 is 945120.

GCF of Denominators means GCF of 448,262,152 as per the given fractions.

GCF of 448,262,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,96,895

LCM of Fractions 44/448,96/262,895/152 is 472560

2 44, 96, 895
2 22, 48, 895
11, 24, 895

∴ So the LCM of the given numbers is 2 x 2 x 11 x 24 x 895 = 945120

Least Common Multiple of 44,96,895 with GCF Formula

Least Common Multiple of 44,96,895 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 44,96,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,96,895) = 1

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

GCF(44,96,895) x common factors =1 x 4 = 4

LCM(44,96,895) = ( 44 × 96 × 895 ) / 4

LCM(44,96,895) = 3780480 / 4

LCM(44,96,895) = 945120


Lets's calculate GCF of 448,262,152

2 448, 262, 152
224, 131, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945120/2

Therefore the LCM of Fractions 44/448,96/262,895/152 is 472560

Greatest Common Factor of 448,262,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,262,152 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 448,262,152 . The biggest common factor number is the GCF number.
So the greatest common factor 448,262,152 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 44/448, 96/262, 895/152

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 44/448, 96/262, 895/152?

Answer: LCM of Numerators as per given numbers 44/448, 96/262, 895/152 is

LCM of Numerators i.e. for 44,96,895 is 945120

GCF of denominators i.e. for 448,262,152 is 2.

Thus, LCM of Fractions is 472560.Finally, LCM of Fractions for 44/448, 96/262, 895/152 is 472560.