Least Common Multiple of 94/42, 24/76, 351/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/42, 24/76, 351/206 quickly i.e. 65988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/42, 24/76, 351/206 is 65988.

LCM(94/42, 24/76, 351/206) = 65988

LCM of 94/42, 24/76, 351/206

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 94/42,24/76,351/206

Given numbers are 94/42,24/76,351/206

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 94,24,351

Least Common Multiple of Numerators i.e. LCM of 94,24,351 is 131976.

GCF of Denominators means GCF of 42,76,206 as per the given fractions.

GCF of 42,76,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,24,351

LCM of Fractions 94/42,24/76,351/206 is 65988

2 94, 24, 351
3 47, 12, 351
47, 4, 117

∴ So the LCM of the given numbers is 2 x 3 x 47 x 4 x 117 = 131976

Least Common Multiple of 94,24,351 with GCF Formula

Least Common Multiple of 94,24,351 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 94,24,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,24,351) = 1

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

GCF(94,24,351) x common factors =1 x 6 = 6

LCM(94,24,351) = ( 94 × 24 × 351 ) / 6

LCM(94,24,351) = 791856 / 6

LCM(94,24,351) = 131976


Lets's calculate GCF of 42,76,206

2 42, 76, 206
21, 38, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131976/2

Therefore the LCM of Fractions 94/42,24/76,351/206 is 65988

Greatest Common Factor of 42,76,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,76,206 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 42,76,206 . The biggest common factor number is the GCF number.
So the greatest common factor 42,76,206 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 94/42, 24/76, 351/206

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 94/42, 24/76, 351/206?

Answer: LCM of Numerators as per given numbers 94/42, 24/76, 351/206 is

LCM of Numerators i.e. for 94,24,351 is 131976

GCF of denominators i.e. for 42,76,206 is 2.

Thus, LCM of Fractions is 65988.Finally, LCM of Fractions for 94/42, 24/76, 351/206 is 65988.