Least Common Multiple of 36/453, 870/396, 319/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/453, 870/396, 319/860 quickly i.e. 57420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/453, 870/396, 319/860 is 57420.

LCM(36/453, 870/396, 319/860) = 57420

LCM of 36/453, 870/396, 319/860

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 36/453,870/396,319/860

Given numbers are 36/453,870/396,319/860

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 36,870,319

Least Common Multiple of Numerators i.e. LCM of 36,870,319 is 57420.

GCF of Denominators means GCF of 453,396,860 as per the given fractions.

GCF of 453,396,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,870,319

LCM of Fractions 36/453,870/396,319/860 is 57420

2 36, 870, 319
3 18, 435, 319
29 6, 145, 319
6, 5, 11

∴ So the LCM of the given numbers is 2 x 3 x 29 x 6 x 5 x 11 = 57420

Least Common Multiple of 36,870,319 with GCF Formula

Least Common Multiple of 36,870,319 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 36,870,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,870,319) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(36,870,319) x common factors =1 x 174 = 174

LCM(36,870,319) = ( 36 × 870 × 319 ) / 174

LCM(36,870,319) = 9991080 / 174

LCM(36,870,319) = 57420


Lets's calculate GCF of 453,396,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57420/1

Therefore the LCM of Fractions 36/453,870/396,319/860 is 57420

Greatest Common Factor of 453,396,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,396,860 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 453,396,860 . The biggest common factor number is the GCF number.
So the greatest common factor 453,396,860 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 36/453, 870/396, 319/860

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 36/453, 870/396, 319/860?

Answer: LCM of Numerators as per given numbers 36/453, 870/396, 319/860 is

LCM of Numerators i.e. for 36,870,319 is 57420

GCF of denominators i.e. for 453,396,860 is 1.

Thus, LCM of Fractions is 57420.Finally, LCM of Fractions for 36/453, 870/396, 319/860 is 57420.