Least Common Multiple of 51/165, 60/819, 781/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/165, 60/819, 781/870 quickly i.e. 265540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/165, 60/819, 781/870 is 265540.

LCM(51/165, 60/819, 781/870) = 265540

LCM of 51/165, 60/819, 781/870

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 51/165,60/819,781/870

Given numbers are 51/165,60/819,781/870

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 51,60,781

Least Common Multiple of Numerators i.e. LCM of 51,60,781 is 796620.

GCF of Denominators means GCF of 165,819,870 as per the given fractions.

GCF of 165,819,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,60,781

LCM of Fractions 51/165,60/819,781/870 is 265540

3 51, 60, 781
17, 20, 781

∴ So the LCM of the given numbers is 3 x 17 x 20 x 781 = 796620

Least Common Multiple of 51,60,781 with GCF Formula

Least Common Multiple of 51,60,781 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 51,60,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,60,781) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,60,781) x common factors =1 x 3 = 3

LCM(51,60,781) = ( 51 × 60 × 781 ) / 3

LCM(51,60,781) = 2389860 / 3

LCM(51,60,781) = 796620


Lets's calculate GCF of 165,819,870

3 165, 819, 870
55, 273, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796620/3

Therefore the LCM of Fractions 51/165,60/819,781/870 is 265540

Greatest Common Factor of 165,819,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,819,870 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 165,819,870 . The biggest common factor number is the GCF number.
So the greatest common factor 165,819,870 is 3.


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 51/165, 60/819, 781/870

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 51/165, 60/819, 781/870?

Answer: LCM of Numerators as per given numbers 51/165, 60/819, 781/870 is

LCM of Numerators i.e. for 51,60,781 is 796620

GCF of denominators i.e. for 165,819,870 is 3.

Thus, LCM of Fractions is 265540.Finally, LCM of Fractions for 51/165, 60/819, 781/870 is 265540.