Least Common Multiple of 3489/624, 7101/7362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3489/624, 7101/7362 quickly i.e. 8258463/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3489/624, 7101/7362 is 8258463/6.

LCM(3489/624, 7101/7362) = 8258463/6

LCM of 3489/624, 7101/7362

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 3489/624,7101/7362

Given numbers are 3489/624,7101/7362

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 3489,7101

Least Common Multiple of Numerators i.e. LCM of 3489,7101 is 8258463.

GCF of Denominators means GCF of 624,7362 as per the given fractions.

GCF of 624,7362 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3489,7101

LCM of Fractions 3489/624,7101/7362 is 8258463/6

3 3489, 7101
1163, 2367

∴ So the LCM of the given numbers is 3 x 1163 x 2367 = 8258463

Least Common Multiple of 3489,7101 with GCF Formula

Least Common Multiple of 3489,7101 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 3489,7101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3489,7101) = 3

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

GCF(3489,7101) x common factors =3 x 1 = 3

LCM(3489,7101) = ( 3489 × 7101 ) / 3

LCM(3489,7101) = 24775389 / 3

LCM(3489,7101) = 8258463


Lets's calculate GCF of 624,7362

2 624, 7362
3 312, 3681
104, 1227

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8258463/6

Therefore the LCM of Fractions 3489/624,7101/7362 is 8258463/6

Greatest Common Factor of 624,7362 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,7362 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 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Greatest Common Factor

We found the factors 624,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 624,7362 is 6.


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 3489/624, 7101/7362

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 3489/624, 7101/7362?

Answer: LCM of Numerators as per given numbers 3489/624, 7101/7362 is

LCM of Numerators i.e. for 3489,7101 is 8258463

GCF of denominators i.e. for 624,7362 is 6.

Thus, LCM of Fractions is 8258463/6.Finally, LCM of Fractions for 3489/624, 7101/7362 is 8258463/6.