Least Common Multiple of 764/50, 220/72, 184/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 764/50, 220/72, 184/194 quickly i.e. 966460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/50, 220/72, 184/194 is 966460.

LCM(764/50, 220/72, 184/194) = 966460

LCM of 764/50, 220/72, 184/194

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 764/50,220/72,184/194

Given numbers are 764/50,220/72,184/194

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 764,220,184

Least Common Multiple of Numerators i.e. LCM of 764,220,184 is 1932920.

GCF of Denominators means GCF of 50,72,194 as per the given fractions.

GCF of 50,72,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,220,184

LCM of Fractions 764/50,220/72,184/194 is 966460

2 764, 220, 184
2 382, 110, 92
191, 55, 46

∴ So the LCM of the given numbers is 2 x 2 x 191 x 55 x 46 = 1932920

Least Common Multiple of 764,220,184 with GCF Formula

Least Common Multiple of 764,220,184 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 764,220,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,220,184) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(764,220,184) x common factors =4 x 4 = 16

LCM(764,220,184) = ( 764 × 220 × 184 ) / 16

LCM(764,220,184) = 30926720 / 16

LCM(764,220,184) = 1932920


Lets's calculate GCF of 50,72,194

2 50, 72, 194
25, 36, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1932920/2

Therefore the LCM of Fractions 764/50,220/72,184/194 is 966460

Greatest Common Factor of 50,72,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,72,194 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 50,72,194 . The biggest common factor number is the GCF number.
So the greatest common factor 50,72,194 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 764/50, 220/72, 184/194

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 764/50, 220/72, 184/194?

Answer: LCM of Numerators as per given numbers 764/50, 220/72, 184/194 is

LCM of Numerators i.e. for 764,220,184 is 1932920

GCF of denominators i.e. for 50,72,194 is 2.

Thus, LCM of Fractions is 966460.Finally, LCM of Fractions for 764/50, 220/72, 184/194 is 966460.