Least Common Multiple of 3512/532, 3498/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3512/532, 3498/472 quickly i.e. 1535622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3512/532, 3498/472 is 1535622.

LCM(3512/532, 3498/472) = 1535622

LCM of 3512/532, 3498/472

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 3512/532,3498/472

Given numbers are 3512/532,3498/472

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 3512,3498

Least Common Multiple of Numerators i.e. LCM of 3512,3498 is 6142488.

GCF of Denominators means GCF of 532,472 as per the given fractions.

GCF of 532,472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3512,3498

LCM of Fractions 3512/532,3498/472 is 1535622

2 3512, 3498
1756, 1749

∴ So the LCM of the given numbers is 2 x 1756 x 1749 = 6142488

Least Common Multiple of 3512,3498 with GCF Formula

Least Common Multiple of 3512,3498 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 3512,3498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3512,3498) = 2

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

GCF(3512,3498) x common factors =2 x 1 = 2

LCM(3512,3498) = ( 3512 × 3498 ) / 2

LCM(3512,3498) = 12284976 / 2

LCM(3512,3498) = 6142488


Lets's calculate GCF of 532,472

2 532, 472
2 266, 236
133, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6142488/4

Therefore the LCM of Fractions 3512/532,3498/472 is 1535622

Greatest Common Factor of 532,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,472 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 532,472 . The biggest common factor number is the GCF number.
So the greatest common factor 532,472 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 3512/532, 3498/472

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 3512/532, 3498/472?

Answer: LCM of Numerators as per given numbers 3512/532, 3498/472 is

LCM of Numerators i.e. for 3512,3498 is 6142488

GCF of denominators i.e. for 532,472 is 4.

Thus, LCM of Fractions is 1535622.Finally, LCM of Fractions for 3512/532, 3498/472 is 1535622.