Least Common Multiple of 677/76, 6742/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/76, 6742/610 quickly i.e. 2282167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/76, 6742/610 is 2282167.

LCM(677/76, 6742/610) = 2282167

LCM of 677/76, 6742/610

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 677/76,6742/610

Given numbers are 677/76,6742/610

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 677,6742

Least Common Multiple of Numerators i.e. LCM of 677,6742 is 4564334.

GCF of Denominators means GCF of 76,610 as per the given fractions.

GCF of 76,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,6742

LCM of Fractions 677/76,6742/610 is 2282167

Given numbers has no common factors except 1. So, there LCM is their product i.e 4564334

Least Common Multiple of 677,6742 with GCF Formula

Least Common Multiple of 677,6742 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 677,6742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,6742) = 1

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

GCF(677,6742) x common factors =1 x 1 = 1

LCM(677,6742) = ( 677 × 6742 ) / 1

LCM(677,6742) = 4564334 / 1

LCM(677,6742) = 4564334


Lets's calculate GCF of 76,610

2 76, 610
38, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4564334/2

Therefore the LCM of Fractions 677/76,6742/610 is 2282167

Greatest Common Factor of 76,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,610 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 76,610 . The biggest common factor number is the GCF number.
So the greatest common factor 76,610 is 2.


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 677/76, 6742/610

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 677/76, 6742/610?

Answer: LCM of Numerators as per given numbers 677/76, 6742/610 is

LCM of Numerators i.e. for 677,6742 is 4564334

GCF of denominators i.e. for 76,610 is 2.

Thus, LCM of Fractions is 2282167.Finally, LCM of Fractions for 677/76, 6742/610 is 2282167.