Least Common Multiple of 77/309, 48/893, 301/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/309, 48/893, 301/706 quickly i.e. 158928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/309, 48/893, 301/706 is 158928.

LCM(77/309, 48/893, 301/706) = 158928

LCM of 77/309, 48/893, 301/706

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 77/309,48/893,301/706

Given numbers are 77/309,48/893,301/706

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 77,48,301

Least Common Multiple of Numerators i.e. LCM of 77,48,301 is 158928.

GCF of Denominators means GCF of 309,893,706 as per the given fractions.

GCF of 309,893,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,48,301

LCM of Fractions 77/309,48/893,301/706 is 158928

7 77, 48, 301
11, 48, 43

∴ So the LCM of the given numbers is 7 x 11 x 48 x 43 = 158928

Least Common Multiple of 77,48,301 with GCF Formula

Least Common Multiple of 77,48,301 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 77,48,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,48,301) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,48,301) x common factors =1 x 7 = 7

LCM(77,48,301) = ( 77 × 48 × 301 ) / 7

LCM(77,48,301) = 1112496 / 7

LCM(77,48,301) = 158928


Lets's calculate GCF of 309,893,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158928/1

Therefore the LCM of Fractions 77/309,48/893,301/706 is 158928

Greatest Common Factor of 309,893,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,893,706 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 309,893,706 . The biggest common factor number is the GCF number.
So the greatest common factor 309,893,706 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 77/309, 48/893, 301/706

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 77/309, 48/893, 301/706?

Answer: LCM of Numerators as per given numbers 77/309, 48/893, 301/706 is

LCM of Numerators i.e. for 77,48,301 is 158928

GCF of denominators i.e. for 309,893,706 is 1.

Thus, LCM of Fractions is 158928.Finally, LCM of Fractions for 77/309, 48/893, 301/706 is 158928.