Least Common Multiple of 7218/427, 8040/9387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7218/427, 8040/9387 quickly i.e. 9672120/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7218/427, 8040/9387 is 9672120/7.

LCM(7218/427, 8040/9387) = 9672120/7

LCM of 7218/427, 8040/9387

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 7218/427,8040/9387

Given numbers are 7218/427,8040/9387

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 7218,8040

Least Common Multiple of Numerators i.e. LCM of 7218,8040 is 9672120.

GCF of Denominators means GCF of 427,9387 as per the given fractions.

GCF of 427,9387 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7218,8040

LCM of Fractions 7218/427,8040/9387 is 9672120/7

2 7218, 8040
3 3609, 4020
1203, 1340

∴ So the LCM of the given numbers is 2 x 3 x 1203 x 1340 = 9672120

Least Common Multiple of 7218,8040 with GCF Formula

Least Common Multiple of 7218,8040 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 7218,8040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7218,8040) = 6

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

GCF(7218,8040) x common factors =6 x 1 = 6

LCM(7218,8040) = ( 7218 × 8040 ) / 6

LCM(7218,8040) = 58032720 / 6

LCM(7218,8040) = 9672120


Lets's calculate GCF of 427,9387

7 427, 9387
61, 1341

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9672120/7

Therefore the LCM of Fractions 7218/427,8040/9387 is 9672120/7

Greatest Common Factor of 427,9387 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,9387 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1,3,7,9,21,63,149,447,1043,1341,3129,9387

Greatest Common Factor

We found the factors 427,9387 . The biggest common factor number is the GCF number.
So the greatest common factor 427,9387 is 7.


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 7218/427, 8040/9387

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 7218/427, 8040/9387?

Answer: LCM of Numerators as per given numbers 7218/427, 8040/9387 is

LCM of Numerators i.e. for 7218,8040 is 9672120

GCF of denominators i.e. for 427,9387 is 7.

Thus, LCM of Fractions is 9672120/7.Finally, LCM of Fractions for 7218/427, 8040/9387 is 9672120/7.