Least Common Multiple of 942/48, 612/83, 823/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/48, 612/83, 823/85 quickly i.e. 79077132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/48, 612/83, 823/85 is 79077132.

LCM(942/48, 612/83, 823/85) = 79077132

LCM of 942/48, 612/83, 823/85

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 942/48,612/83,823/85

Given numbers are 942/48,612/83,823/85

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 942,612,823

Least Common Multiple of Numerators i.e. LCM of 942,612,823 is 79077132.

GCF of Denominators means GCF of 48,83,85 as per the given fractions.

GCF of 48,83,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,612,823

LCM of Fractions 942/48,612/83,823/85 is 79077132

2 942, 612, 823
3 471, 306, 823
157, 102, 823

∴ So the LCM of the given numbers is 2 x 3 x 157 x 102 x 823 = 79077132

Least Common Multiple of 942,612,823 with GCF Formula

Least Common Multiple of 942,612,823 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 942,612,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,612,823) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(942,612,823) x common factors =1 x 6 = 6

LCM(942,612,823) = ( 942 × 612 × 823 ) / 6

LCM(942,612,823) = 474462792 / 6

LCM(942,612,823) = 79077132


Lets's calculate GCF of 48,83,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79077132/1

Therefore the LCM of Fractions 942/48,612/83,823/85 is 79077132

Greatest Common Factor of 48,83,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,83,85 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 48,83,85 . The biggest common factor number is the GCF number.
So the greatest common factor 48,83,85 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 942/48, 612/83, 823/85

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 942/48, 612/83, 823/85?

Answer: LCM of Numerators as per given numbers 942/48, 612/83, 823/85 is

LCM of Numerators i.e. for 942,612,823 is 79077132

GCF of denominators i.e. for 48,83,85 is 1.

Thus, LCM of Fractions is 79077132.Finally, LCM of Fractions for 942/48, 612/83, 823/85 is 79077132.