Least Common Multiple of 6397/78, 1674/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6397/78, 1674/987 quickly i.e. 3569526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6397/78, 1674/987 is 3569526.

LCM(6397/78, 1674/987) = 3569526

LCM of 6397/78, 1674/987

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 6397/78,1674/987

Given numbers are 6397/78,1674/987

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 6397,1674

Least Common Multiple of Numerators i.e. LCM of 6397,1674 is 10708578.

GCF of Denominators means GCF of 78,987 as per the given fractions.

GCF of 78,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6397,1674

LCM of Fractions 6397/78,1674/987 is 3569526

Given numbers has no common factors except 1. So, there LCM is their product i.e 10708578

Least Common Multiple of 6397,1674 with GCF Formula

Least Common Multiple of 6397,1674 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 6397,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6397,1674) = 1

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

GCF(6397,1674) x common factors =1 x 1 = 1

LCM(6397,1674) = ( 6397 × 1674 ) / 1

LCM(6397,1674) = 10708578 / 1

LCM(6397,1674) = 10708578


Lets's calculate GCF of 78,987

3 78, 987
26, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10708578/3

Therefore the LCM of Fractions 6397/78,1674/987 is 3569526

Greatest Common Factor of 78,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,987 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 78,987 . The biggest common factor number is the GCF number.
So the greatest common factor 78,987 is 3.


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 6397/78, 1674/987

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 6397/78, 1674/987?

Answer: LCM of Numerators as per given numbers 6397/78, 1674/987 is

LCM of Numerators i.e. for 6397,1674 is 10708578

GCF of denominators i.e. for 78,987 is 3.

Thus, LCM of Fractions is 3569526.Finally, LCM of Fractions for 6397/78, 1674/987 is 3569526.