Least Common Multiple of 3510/264, 7587/3316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3510/264, 7587/3316 quickly i.e. 986310/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3510/264, 7587/3316 is 986310/4.

LCM(3510/264, 7587/3316) = 986310/4

LCM of 3510/264, 7587/3316

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 3510/264,7587/3316

Given numbers are 3510/264,7587/3316

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 3510,7587

Least Common Multiple of Numerators i.e. LCM of 3510,7587 is 986310.

GCF of Denominators means GCF of 264,3316 as per the given fractions.

GCF of 264,3316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3510,7587

LCM of Fractions 3510/264,7587/3316 is 986310/4

3 3510, 7587
3 1170, 2529
3 390, 843
130, 281

∴ So the LCM of the given numbers is 3 x 3 x 3 x 130 x 281 = 986310

Least Common Multiple of 3510,7587 with GCF Formula

Least Common Multiple of 3510,7587 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 3510,7587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3510,7587) = 27

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

GCF(3510,7587) x common factors =27 x 1 = 27

LCM(3510,7587) = ( 3510 × 7587 ) / 27

LCM(3510,7587) = 26630370 / 27

LCM(3510,7587) = 986310


Lets's calculate GCF of 264,3316

2 264, 3316
2 132, 1658
66, 829

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986310/4

Therefore the LCM of Fractions 3510/264,7587/3316 is 986310/4

Greatest Common Factor of 264,3316 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,3316 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors 264,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 264,3316 is 4.


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 3510/264, 7587/3316

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 3510/264, 7587/3316?

Answer: LCM of Numerators as per given numbers 3510/264, 7587/3316 is

LCM of Numerators i.e. for 3510,7587 is 986310

GCF of denominators i.e. for 264,3316 is 4.

Thus, LCM of Fractions is 986310/4.Finally, LCM of Fractions for 3510/264, 7587/3316 is 986310/4.