Least Common Multiple of 727/468, 166/617, 152/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/468, 166/617, 152/206 quickly i.e. 9171832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/468, 166/617, 152/206 is 9171832.

LCM(727/468, 166/617, 152/206) = 9171832

LCM of 727/468, 166/617, 152/206

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 727/468,166/617,152/206

Given numbers are 727/468,166/617,152/206

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 727,166,152

Least Common Multiple of Numerators i.e. LCM of 727,166,152 is 9171832.

GCF of Denominators means GCF of 468,617,206 as per the given fractions.

GCF of 468,617,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,166,152

LCM of Fractions 727/468,166/617,152/206 is 9171832

2 727, 166, 152
727, 83, 76

∴ So the LCM of the given numbers is 2 x 727 x 83 x 76 = 9171832

Least Common Multiple of 727,166,152 with GCF Formula

Least Common Multiple of 727,166,152 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 727,166,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,166,152) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(727,166,152) x common factors =1 x 2 = 2

LCM(727,166,152) = ( 727 × 166 × 152 ) / 2

LCM(727,166,152) = 18343664 / 2

LCM(727,166,152) = 9171832


Lets's calculate GCF of 468,617,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9171832/1

Therefore the LCM of Fractions 727/468,166/617,152/206 is 9171832

Greatest Common Factor of 468,617,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,617,206 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

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 468,617,206 . The biggest common factor number is the GCF number.
So the greatest common factor 468,617,206 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 727/468, 166/617, 152/206

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 727/468, 166/617, 152/206?

Answer: LCM of Numerators as per given numbers 727/468, 166/617, 152/206 is

LCM of Numerators i.e. for 727,166,152 is 9171832

GCF of denominators i.e. for 468,617,206 is 1.

Thus, LCM of Fractions is 9171832.Finally, LCM of Fractions for 727/468, 166/617, 152/206 is 9171832.