Least Common Multiple of 47/48, 95/70, 46/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/48, 95/70, 46/920 quickly i.e. 102695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/48, 95/70, 46/920 is 102695.

LCM(47/48, 95/70, 46/920) = 102695

LCM of 47/48, 95/70, 46/920

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 47/48,95/70,46/920

Given numbers are 47/48,95/70,46/920

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 47,95,46

Least Common Multiple of Numerators i.e. LCM of 47,95,46 is 205390.

GCF of Denominators means GCF of 48,70,920 as per the given fractions.

GCF of 48,70,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,95,46

LCM of Fractions 47/48,95/70,46/920 is 102695

Given numbers has no common factors except 1. So, there LCM is their product i.e 205390

Least Common Multiple of 47,95,46 with GCF Formula

Least Common Multiple of 47,95,46 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 47,95,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,95,46) = 1

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

GCF(47,95,46) x common factors =1 x 1 = 1

LCM(47,95,46) = ( 47 × 95 × 46 ) / 1

LCM(47,95,46) = 205390 / 1

LCM(47,95,46) = 205390


Lets's calculate GCF of 48,70,920

2 48, 70, 920
24, 35, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205390/2

Therefore the LCM of Fractions 47/48,95/70,46/920 is 102695

Greatest Common Factor of 48,70,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,70,920 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 48,70,920 . The biggest common factor number is the GCF number.
So the greatest common factor 48,70,920 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 47/48, 95/70, 46/920

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 47/48, 95/70, 46/920?

Answer: LCM of Numerators as per given numbers 47/48, 95/70, 46/920 is

LCM of Numerators i.e. for 47,95,46 is 205390

GCF of denominators i.e. for 48,70,920 is 2.

Thus, LCM of Fractions is 102695.Finally, LCM of Fractions for 47/48, 95/70, 46/920 is 102695.