Least Common Multiple of 901/96, 122/47, 148/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 901/96, 122/47, 148/378 quickly i.e. 8134228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/96, 122/47, 148/378 is 8134228.

LCM(901/96, 122/47, 148/378) = 8134228

LCM of 901/96, 122/47, 148/378

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 901/96,122/47,148/378

Given numbers are 901/96,122/47,148/378

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 901,122,148

Least Common Multiple of Numerators i.e. LCM of 901,122,148 is 8134228.

GCF of Denominators means GCF of 96,47,378 as per the given fractions.

GCF of 96,47,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,122,148

LCM of Fractions 901/96,122/47,148/378 is 8134228

2 901, 122, 148
901, 61, 74

∴ So the LCM of the given numbers is 2 x 901 x 61 x 74 = 8134228

Least Common Multiple of 901,122,148 with GCF Formula

Least Common Multiple of 901,122,148 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 901,122,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,122,148) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(901,122,148) x common factors =1 x 2 = 2

LCM(901,122,148) = ( 901 × 122 × 148 ) / 2

LCM(901,122,148) = 16268456 / 2

LCM(901,122,148) = 8134228


Lets's calculate GCF of 96,47,378

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8134228/1

Therefore the LCM of Fractions 901/96,122/47,148/378 is 8134228

Greatest Common Factor of 96,47,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,47,378 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 96,47,378 . The biggest common factor number is the GCF number.
So the greatest common factor 96,47,378 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 901/96, 122/47, 148/378

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 901/96, 122/47, 148/378?

Answer: LCM of Numerators as per given numbers 901/96, 122/47, 148/378 is

LCM of Numerators i.e. for 901,122,148 is 8134228

GCF of denominators i.e. for 96,47,378 is 1.

Thus, LCM of Fractions is 8134228.Finally, LCM of Fractions for 901/96, 122/47, 148/378 is 8134228.