Least Common Multiple of 1287/660, 6238/1534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1287/660, 6238/1534 quickly i.e. 4014153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1287/660, 6238/1534 is 4014153.

LCM(1287/660, 6238/1534) = 4014153

LCM of 1287/660, 6238/1534

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 1287/660,6238/1534

Given numbers are 1287/660,6238/1534

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 1287,6238

Least Common Multiple of Numerators i.e. LCM of 1287,6238 is 8028306.

GCF of Denominators means GCF of 660,1534 as per the given fractions.

GCF of 660,1534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1287,6238

LCM of Fractions 1287/660,6238/1534 is 4014153

Given numbers has no common factors except 1. So, there LCM is their product i.e 8028306

Least Common Multiple of 1287,6238 with GCF Formula

Least Common Multiple of 1287,6238 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 1287,6238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1287,6238) = 1

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

GCF(1287,6238) x common factors =1 x 1 = 1

LCM(1287,6238) = ( 1287 × 6238 ) / 1

LCM(1287,6238) = 8028306 / 1

LCM(1287,6238) = 8028306


Lets's calculate GCF of 660,1534

2 660, 1534
330, 767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8028306/2

Therefore the LCM of Fractions 1287/660,6238/1534 is 4014153

Greatest Common Factor of 660,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,1534 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 660,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 660,1534 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1287/660, 6238/1534

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 1287/660, 6238/1534?

Answer: LCM of Numerators as per given numbers 1287/660, 6238/1534 is

LCM of Numerators i.e. for 1287,6238 is 8028306

GCF of denominators i.e. for 660,1534 is 2.

Thus, LCM of Fractions is 4014153.Finally, LCM of Fractions for 1287/660, 6238/1534 is 4014153.