Least Common Multiple of 837/240, 690/165, 770/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/240, 690/165, 770/928 quickly i.e. 14823270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/240, 690/165, 770/928 is 14823270.

LCM(837/240, 690/165, 770/928) = 14823270

LCM of 837/240, 690/165, 770/928

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 837/240,690/165,770/928

Given numbers are 837/240,690/165,770/928

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 837,690,770

Least Common Multiple of Numerators i.e. LCM of 837,690,770 is 14823270.

GCF of Denominators means GCF of 240,165,928 as per the given fractions.

GCF of 240,165,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,690,770

LCM of Fractions 837/240,690/165,770/928 is 14823270

2 837, 690, 770
3 837, 345, 385
5 279, 115, 385
279, 23, 77

∴ So the LCM of the given numbers is 2 x 3 x 5 x 279 x 23 x 77 = 14823270

Least Common Multiple of 837,690,770 with GCF Formula

Least Common Multiple of 837,690,770 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 837,690,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,690,770) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(837,690,770) x common factors =1 x 30 = 30

LCM(837,690,770) = ( 837 × 690 × 770 ) / 30

LCM(837,690,770) = 444698100 / 30

LCM(837,690,770) = 14823270


Lets's calculate GCF of 240,165,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14823270/1

Therefore the LCM of Fractions 837/240,690/165,770/928 is 14823270

Greatest Common Factor of 240,165,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,165,928 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

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 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 240,165,928 . The biggest common factor number is the GCF number.
So the greatest common factor 240,165,928 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 837/240, 690/165, 770/928

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 837/240, 690/165, 770/928?

Answer: LCM of Numerators as per given numbers 837/240, 690/165, 770/928 is

LCM of Numerators i.e. for 837,690,770 is 14823270

GCF of denominators i.e. for 240,165,928 is 1.

Thus, LCM of Fractions is 14823270.Finally, LCM of Fractions for 837/240, 690/165, 770/928 is 14823270.