Least Common Multiple of 727/77, 468/18, 340/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/77, 468/18, 340/125 quickly i.e. 28920060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/77, 468/18, 340/125 is 28920060.

LCM(727/77, 468/18, 340/125) = 28920060

LCM of 727/77, 468/18, 340/125

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 727/77,468/18,340/125

Given numbers are 727/77,468/18,340/125

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 727,468,340

Least Common Multiple of Numerators i.e. LCM of 727,468,340 is 28920060.

GCF of Denominators means GCF of 77,18,125 as per the given fractions.

GCF of 77,18,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,468,340

LCM of Fractions 727/77,468/18,340/125 is 28920060

2 727, 468, 340
2 727, 234, 170
727, 117, 85

∴ So the LCM of the given numbers is 2 x 2 x 727 x 117 x 85 = 28920060

Least Common Multiple of 727,468,340 with GCF Formula

Least Common Multiple of 727,468,340 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 727,468,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,468,340) = 1

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

GCF(727,468,340) x common factors =1 x 4 = 4

LCM(727,468,340) = ( 727 × 468 × 340 ) / 4

LCM(727,468,340) = 115680240 / 4

LCM(727,468,340) = 28920060


Lets's calculate GCF of 77,18,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28920060/1

Therefore the LCM of Fractions 727/77,468/18,340/125 is 28920060

Greatest Common Factor of 77,18,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,18,125 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 77,18,125 . The biggest common factor number is the GCF number.
So the greatest common factor 77,18,125 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 727/77, 468/18, 340/125

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 727/77, 468/18, 340/125?

Answer: LCM of Numerators as per given numbers 727/77, 468/18, 340/125 is

LCM of Numerators i.e. for 727,468,340 is 28920060

GCF of denominators i.e. for 77,18,125 is 1.

Thus, LCM of Fractions is 28920060.Finally, LCM of Fractions for 727/77, 468/18, 340/125 is 28920060.