Least Common Multiple of 1581/624, 7121/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1581/624, 7121/398 quickly i.e. 11258301/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1581/624, 7121/398 is 11258301/2.

LCM(1581/624, 7121/398) = 11258301/2

LCM of 1581/624, 7121/398

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 1581/624,7121/398

Given numbers are 1581/624,7121/398

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 1581,7121

Least Common Multiple of Numerators i.e. LCM of 1581,7121 is 11258301.

GCF of Denominators means GCF of 624,398 as per the given fractions.

GCF of 624,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1581,7121

LCM of Fractions 1581/624,7121/398 is 11258301/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 11258301

Least Common Multiple of 1581,7121 with GCF Formula

Least Common Multiple of 1581,7121 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 1581,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1581,7121) = 1

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

GCF(1581,7121) x common factors =1 x 1 = 1

LCM(1581,7121) = ( 1581 × 7121 ) / 1

LCM(1581,7121) = 11258301 / 1

LCM(1581,7121) = 11258301


Lets's calculate GCF of 624,398

2 624, 398
312, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11258301/2

Therefore the LCM of Fractions 1581/624,7121/398 is 11258301/2

Greatest Common Factor of 624,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,398 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 624,398 . The biggest common factor number is the GCF number.
So the greatest common factor 624,398 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 1581/624, 7121/398

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 1581/624, 7121/398?

Answer: LCM of Numerators as per given numbers 1581/624, 7121/398 is

LCM of Numerators i.e. for 1581,7121 is 11258301

GCF of denominators i.e. for 624,398 is 2.

Thus, LCM of Fractions is 11258301/2.Finally, LCM of Fractions for 1581/624, 7121/398 is 11258301/2.