Least Common Multiple of 77/348, 6379/1346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/348, 6379/1346 quickly i.e. 491183/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/348, 6379/1346 is 491183/2.

LCM(77/348, 6379/1346) = 491183/2

LCM of 77/348, 6379/1346

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 77/348,6379/1346

Given numbers are 77/348,6379/1346

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 77,6379

Least Common Multiple of Numerators i.e. LCM of 77,6379 is 491183.

GCF of Denominators means GCF of 348,1346 as per the given fractions.

GCF of 348,1346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,6379

LCM of Fractions 77/348,6379/1346 is 491183/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 491183

Least Common Multiple of 77,6379 with GCF Formula

Least Common Multiple of 77,6379 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 77,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,6379) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,6379) x common factors =1 x 1 = 1

LCM(77,6379) = ( 77 × 6379 ) / 1

LCM(77,6379) = 491183 / 1

LCM(77,6379) = 491183


Lets's calculate GCF of 348,1346

2 348, 1346
174, 673

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491183/2

Therefore the LCM of Fractions 77/348,6379/1346 is 491183/2

Greatest Common Factor of 348,1346 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,1346 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Greatest Common Factor

We found the factors 348,1346 . The biggest common factor number is the GCF number.
So the greatest common factor 348,1346 is 2.


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Frequently Asked Questions on Fractional LCM of 77/348, 6379/1346

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 77/348, 6379/1346?

Answer: LCM of Numerators as per given numbers 77/348, 6379/1346 is

LCM of Numerators i.e. for 77,6379 is 491183

GCF of denominators i.e. for 348,1346 is 2.

Thus, LCM of Fractions is 491183/2.Finally, LCM of Fractions for 77/348, 6379/1346 is 491183/2.