Least Common Multiple of 78/510, 89/726, 932/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/510, 89/726, 932/798 quickly i.e. 539162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/510, 89/726, 932/798 is 539162.

LCM(78/510, 89/726, 932/798) = 539162

LCM of 78/510, 89/726, 932/798

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 78/510,89/726,932/798

Given numbers are 78/510,89/726,932/798

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 78,89,932

Least Common Multiple of Numerators i.e. LCM of 78,89,932 is 3234972.

GCF of Denominators means GCF of 510,726,798 as per the given fractions.

GCF of 510,726,798 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,89,932

LCM of Fractions 78/510,89/726,932/798 is 539162

2 78, 89, 932
39, 89, 466

∴ So the LCM of the given numbers is 2 x 39 x 89 x 466 = 3234972

Least Common Multiple of 78,89,932 with GCF Formula

Least Common Multiple of 78,89,932 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 78,89,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,89,932) = 1

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

GCF(78,89,932) x common factors =1 x 2 = 2

LCM(78,89,932) = ( 78 × 89 × 932 ) / 2

LCM(78,89,932) = 6469944 / 2

LCM(78,89,932) = 3234972


Lets's calculate GCF of 510,726,798

2 510, 726, 798
3 255, 363, 399
85, 121, 133

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3234972/6

Therefore the LCM of Fractions 78/510,89/726,932/798 is 539162

Greatest Common Factor of 510,726,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,726,798 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 510,726,798 . The biggest common factor number is the GCF number.
So the greatest common factor 510,726,798 is 6.


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 78/510, 89/726, 932/798

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 78/510, 89/726, 932/798?

Answer: LCM of Numerators as per given numbers 78/510, 89/726, 932/798 is

LCM of Numerators i.e. for 78,89,932 is 3234972

GCF of denominators i.e. for 510,726,798 is 6.

Thus, LCM of Fractions is 539162.Finally, LCM of Fractions for 78/510, 89/726, 932/798 is 539162.