Least Common Multiple of 83/11, 21/40, 70/60, 69/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/11, 21/40, 70/60, 69/540 quickly i.e. 400890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/11, 21/40, 70/60, 69/540 is 400890.

LCM(83/11, 21/40, 70/60, 69/540) = 400890

LCM of 83/11, 21/40, 70/60, 69/540

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 83/11,21/40,70/60,69/540

Given numbers are 83/11,21/40,70/60,69/540

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 83,21,70,69

Least Common Multiple of Numerators i.e. LCM of 83,21,70,69 is 400890.

GCF of Denominators means GCF of 11,40,60,540 as per the given fractions.

GCF of 11,40,60,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,21,70,69

LCM of Fractions 83/11,21/40,70/60,69/540 is 400890

3 83, 21, 70, 69
7 83, 7, 70, 23
83, 1, 10, 23

∴ So the LCM of the given numbers is 3 x 7 x 83 x 1 x 10 x 23 = 400890

Least Common Multiple of 83,21,70,69 with GCF Formula

Least Common Multiple of 83,21,70,69 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 83,21,70,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,21,70,69) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(83,21,70,69) x common factors =1 x 21 = 21

LCM(83,21,70,69) = ( 83 × 21 × 70 × 69 ) / 21

LCM(83,21,70,69) = 8418690 / 21

LCM(83,21,70,69) = 400890


Lets's calculate GCF of 11,40,60,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400890/1

Therefore the LCM of Fractions 83/11,21/40,70/60,69/540 is 400890

Greatest Common Factor of 11,40,60,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,40,60,540 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 11,40,60,540 . The biggest common factor number is the GCF number.
So the greatest common factor 11,40,60,540 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 83/11, 21/40, 70/60, 69/540

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 83/11, 21/40, 70/60, 69/540?

Answer: LCM of Numerators as per given numbers 83/11, 21/40, 70/60, 69/540 is

LCM of Numerators i.e. for 83,21,70,69 is 400890

GCF of denominators i.e. for 11,40,60,540 is 1.

Thus, LCM of Fractions is 400890.Finally, LCM of Fractions for 83/11, 21/40, 70/60, 69/540 is 400890.