Least Common Multiple of 3864/978, 6867/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3864/978, 6867/737 quickly i.e. 1263528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3864/978, 6867/737 is 1263528.

LCM(3864/978, 6867/737) = 1263528

LCM of 3864/978, 6867/737

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 3864/978,6867/737

Given numbers are 3864/978,6867/737

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 3864,6867

Least Common Multiple of Numerators i.e. LCM of 3864,6867 is 1263528.

GCF of Denominators means GCF of 978,737 as per the given fractions.

GCF of 978,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3864,6867

LCM of Fractions 3864/978,6867/737 is 1263528

3 3864, 6867
7 1288, 2289
184, 327

∴ So the LCM of the given numbers is 3 x 7 x 184 x 327 = 1263528

Least Common Multiple of 3864,6867 with GCF Formula

Least Common Multiple of 3864,6867 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 3864,6867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3864,6867) = 21

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

GCF(3864,6867) x common factors =21 x 1 = 21

LCM(3864,6867) = ( 3864 × 6867 ) / 21

LCM(3864,6867) = 26534088 / 21

LCM(3864,6867) = 1263528


Lets's calculate GCF of 978,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1263528/1

Therefore the LCM of Fractions 3864/978,6867/737 is 1263528

Greatest Common Factor of 978,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,737 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 978,737 . The biggest common factor number is the GCF number.
So the greatest common factor 978,737 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3864/978, 6867/737

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 3864/978, 6867/737?

Answer: LCM of Numerators as per given numbers 3864/978, 6867/737 is

LCM of Numerators i.e. for 3864,6867 is 1263528

GCF of denominators i.e. for 978,737 is 1.

Thus, LCM of Fractions is 1263528.Finally, LCM of Fractions for 3864/978, 6867/737 is 1263528.