Least Common Multiple of 94/46, 28/42, 564/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/46, 28/42, 564/716 quickly i.e. 1974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/46, 28/42, 564/716 is 1974.

LCM(94/46, 28/42, 564/716) = 1974

LCM of 94/46, 28/42, 564/716

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 94/46,28/42,564/716

Given numbers are 94/46,28/42,564/716

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 94,28,564

Least Common Multiple of Numerators i.e. LCM of 94,28,564 is 3948.

GCF of Denominators means GCF of 46,42,716 as per the given fractions.

GCF of 46,42,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,28,564

LCM of Fractions 94/46,28/42,564/716 is 1974

2 94, 28, 564
2 47, 14, 282
47 47, 7, 141
1, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 47 x 1 x 7 x 3 = 3948

Least Common Multiple of 94,28,564 with GCF Formula

Least Common Multiple of 94,28,564 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 94,28,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,28,564) = 2

common factors(in case of two or more numbers have common factors) = 188

GCF(94,28,564) x common factors =2 x 188 = 376

LCM(94,28,564) = ( 94 × 28 × 564 ) / 376

LCM(94,28,564) = 1484448 / 376

LCM(94,28,564) = 3948


Lets's calculate GCF of 46,42,716

2 46, 42, 716
23, 21, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3948/2

Therefore the LCM of Fractions 94/46,28/42,564/716 is 1974

Greatest Common Factor of 46,42,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,42,716 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 46,42,716 . The biggest common factor number is the GCF number.
So the greatest common factor 46,42,716 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 94/46, 28/42, 564/716

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 94/46, 28/42, 564/716?

Answer: LCM of Numerators as per given numbers 94/46, 28/42, 564/716 is

LCM of Numerators i.e. for 94,28,564 is 3948

GCF of denominators i.e. for 46,42,716 is 2.

Thus, LCM of Fractions is 1974.Finally, LCM of Fractions for 94/46, 28/42, 564/716 is 1974.