Least Common Multiple of 947/73, 518/92, 142/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 947/73, 518/92, 142/192 quickly i.e. 34828766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 947/73, 518/92, 142/192 is 34828766.

LCM(947/73, 518/92, 142/192) = 34828766

LCM of 947/73, 518/92, 142/192

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 947/73,518/92,142/192

Given numbers are 947/73,518/92,142/192

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 947,518,142

Least Common Multiple of Numerators i.e. LCM of 947,518,142 is 34828766.

GCF of Denominators means GCF of 73,92,192 as per the given fractions.

GCF of 73,92,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 947,518,142

LCM of Fractions 947/73,518/92,142/192 is 34828766

2 947, 518, 142
947, 259, 71

∴ So the LCM of the given numbers is 2 x 947 x 259 x 71 = 34828766

Least Common Multiple of 947,518,142 with GCF Formula

Least Common Multiple of 947,518,142 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 947,518,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,518,142) = 1

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

GCF(947,518,142) x common factors =1 x 2 = 2

LCM(947,518,142) = ( 947 × 518 × 142 ) / 2

LCM(947,518,142) = 69657532 / 2

LCM(947,518,142) = 34828766


Lets's calculate GCF of 73,92,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34828766/1

Therefore the LCM of Fractions 947/73,518/92,142/192 is 34828766

Greatest Common Factor of 73,92,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,92,192 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 73,92,192 . The biggest common factor number is the GCF number.
So the greatest common factor 73,92,192 is 1.


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 947/73, 518/92, 142/192

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 947/73, 518/92, 142/192?

Answer: LCM of Numerators as per given numbers 947/73, 518/92, 142/192 is

LCM of Numerators i.e. for 947,518,142 is 34828766

GCF of denominators i.e. for 73,92,192 is 1.

Thus, LCM of Fractions is 34828766.Finally, LCM of Fractions for 947/73, 518/92, 142/192 is 34828766.