Least Common Multiple of 3516/912, 4526/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3516/912, 4526/645 quickly i.e. 2652236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3516/912, 4526/645 is 2652236.

LCM(3516/912, 4526/645) = 2652236

LCM of 3516/912, 4526/645

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 3516/912,4526/645

Given numbers are 3516/912,4526/645

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 3516,4526

Least Common Multiple of Numerators i.e. LCM of 3516,4526 is 7956708.

GCF of Denominators means GCF of 912,645 as per the given fractions.

GCF of 912,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3516,4526

LCM of Fractions 3516/912,4526/645 is 2652236

2 3516, 4526
1758, 2263

∴ So the LCM of the given numbers is 2 x 1758 x 2263 = 7956708

Least Common Multiple of 3516,4526 with GCF Formula

Least Common Multiple of 3516,4526 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 3516,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3516,4526) = 2

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

GCF(3516,4526) x common factors =2 x 1 = 2

LCM(3516,4526) = ( 3516 × 4526 ) / 2

LCM(3516,4526) = 15913416 / 2

LCM(3516,4526) = 7956708


Lets's calculate GCF of 912,645

3 912, 645
304, 215

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7956708/3

Therefore the LCM of Fractions 3516/912,4526/645 is 2652236

Greatest Common Factor of 912,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,645 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 912,645 . The biggest common factor number is the GCF number.
So the greatest common factor 912,645 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3516/912, 4526/645

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 3516/912, 4526/645?

Answer: LCM of Numerators as per given numbers 3516/912, 4526/645 is

LCM of Numerators i.e. for 3516,4526 is 7956708

GCF of denominators i.e. for 912,645 is 3.

Thus, LCM of Fractions is 2652236.Finally, LCM of Fractions for 3516/912, 4526/645 is 2652236.