Least Common Multiple of 77/793, 706/232, 778/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/793, 706/232, 778/240 quickly i.e. 21146818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/793, 706/232, 778/240 is 21146818.

LCM(77/793, 706/232, 778/240) = 21146818

LCM of 77/793, 706/232, 778/240

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 77/793,706/232,778/240

Given numbers are 77/793,706/232,778/240

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 77,706,778

Least Common Multiple of Numerators i.e. LCM of 77,706,778 is 21146818.

GCF of Denominators means GCF of 793,232,240 as per the given fractions.

GCF of 793,232,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,706,778

LCM of Fractions 77/793,706/232,778/240 is 21146818

2 77, 706, 778
77, 353, 389

∴ So the LCM of the given numbers is 2 x 77 x 353 x 389 = 21146818

Least Common Multiple of 77,706,778 with GCF Formula

Least Common Multiple of 77,706,778 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 77,706,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,706,778) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,706,778) x common factors =1 x 2 = 2

LCM(77,706,778) = ( 77 × 706 × 778 ) / 2

LCM(77,706,778) = 42293636 / 2

LCM(77,706,778) = 21146818


Lets's calculate GCF of 793,232,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21146818/1

Therefore the LCM of Fractions 77/793,706/232,778/240 is 21146818

Greatest Common Factor of 793,232,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,232,240 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

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

Greatest Common Factor

We found the factors 793,232,240 . The biggest common factor number is the GCF number.
So the greatest common factor 793,232,240 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 77/793, 706/232, 778/240

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 77/793, 706/232, 778/240?

Answer: LCM of Numerators as per given numbers 77/793, 706/232, 778/240 is

LCM of Numerators i.e. for 77,706,778 is 21146818

GCF of denominators i.e. for 793,232,240 is 1.

Thus, LCM of Fractions is 21146818.Finally, LCM of Fractions for 77/793, 706/232, 778/240 is 21146818.