Least Common Multiple of 50/94, 78/79, 65/33, 66/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/94, 78/79, 65/33, 66/756 quickly i.e. 21450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/94, 78/79, 65/33, 66/756 is 21450.

LCM(50/94, 78/79, 65/33, 66/756) = 21450

LCM of 50/94, 78/79, 65/33, 66/756

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 50/94,78/79,65/33,66/756

Given numbers are 50/94,78/79,65/33,66/756

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 50,78,65,66

Least Common Multiple of Numerators i.e. LCM of 50,78,65,66 is 21450.

GCF of Denominators means GCF of 94,79,33,756 as per the given fractions.

GCF of 94,79,33,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,78,65,66

LCM of Fractions 50/94,78/79,65/33,66/756 is 21450

2 50, 78, 65, 66
3 25, 39, 65, 33
5 25, 13, 65, 11
13 5, 13, 13, 11
5, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 5 x 1 x 1 x 11 = 21450

Least Common Multiple of 50,78,65,66 with GCF Formula

Least Common Multiple of 50,78,65,66 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 50,78,65,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,78,65,66) = 1

common factors(in case of two or more numbers have common factors) = 780

GCF(50,78,65,66) x common factors =1 x 780 = 780

LCM(50,78,65,66) = ( 50 × 78 × 65 × 66 ) / 780

LCM(50,78,65,66) = 16731000 / 780

LCM(50,78,65,66) = 21450


Lets's calculate GCF of 94,79,33,756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21450/1

Therefore the LCM of Fractions 50/94,78/79,65/33,66/756 is 21450

Greatest Common Factor of 94,79,33,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,79,33,756 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 94,79,33,756 . The biggest common factor number is the GCF number.
So the greatest common factor 94,79,33,756 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/94, 78/79, 65/33, 66/756

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 50/94, 78/79, 65/33, 66/756?

Answer: LCM of Numerators as per given numbers 50/94, 78/79, 65/33, 66/756 is

LCM of Numerators i.e. for 50,78,65,66 is 21450

GCF of denominators i.e. for 94,79,33,756 is 1.

Thus, LCM of Fractions is 21450.Finally, LCM of Fractions for 50/94, 78/79, 65/33, 66/756 is 21450.