Least Common Multiple of 40/528, 6727/1716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/528, 6727/1716 quickly i.e. 269080/132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/528, 6727/1716 is 269080/132.

LCM(40/528, 6727/1716) = 269080/132

LCM of 40/528, 6727/1716

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 40/528,6727/1716

Given numbers are 40/528,6727/1716

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 40,6727

Least Common Multiple of Numerators i.e. LCM of 40,6727 is 269080.

GCF of Denominators means GCF of 528,1716 as per the given fractions.

GCF of 528,1716 is 132 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,6727

LCM of Fractions 40/528,6727/1716 is 269080/132

Given numbers has no common factors except 1. So, there LCM is their product i.e 269080

Least Common Multiple of 40,6727 with GCF Formula

Least Common Multiple of 40,6727 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 40,6727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,6727) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(40,6727) x common factors =1 x 1 = 1

LCM(40,6727) = ( 40 × 6727 ) / 1

LCM(40,6727) = 269080 / 1

LCM(40,6727) = 269080


Lets's calculate GCF of 528,1716

2 528, 1716
2 264, 858
3 132, 429
11 44, 143
4, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269080/132

Therefore the LCM of Fractions 40/528,6727/1716 is 269080/132

Greatest Common Factor of 528,1716 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,1716 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Greatest Common Factor

We found the factors 528,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 528,1716 is 132.


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 40/528, 6727/1716

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 40/528, 6727/1716?

Answer: LCM of Numerators as per given numbers 40/528, 6727/1716 is

LCM of Numerators i.e. for 40,6727 is 269080

GCF of denominators i.e. for 528,1716 is 132.

Thus, LCM of Fractions is 269080/132.Finally, LCM of Fractions for 40/528, 6727/1716 is 269080/132.