Least Common Multiple of 137/32, 560/3276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/32, 560/3276 quickly i.e. 19180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/32, 560/3276 is 19180.

LCM(137/32, 560/3276) = 19180

LCM of 137/32, 560/3276

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 137/32,560/3276

Given numbers are 137/32,560/3276

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 137,560

Least Common Multiple of Numerators i.e. LCM of 137,560 is 76720.

GCF of Denominators means GCF of 32,3276 as per the given fractions.

GCF of 32,3276 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,560

LCM of Fractions 137/32,560/3276 is 19180

Given numbers has no common factors except 1. So, there LCM is their product i.e 76720

Least Common Multiple of 137,560 with GCF Formula

Least Common Multiple of 137,560 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 137,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,560) = 1

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

GCF(137,560) x common factors =1 x 1 = 1

LCM(137,560) = ( 137 × 560 ) / 1

LCM(137,560) = 76720 / 1

LCM(137,560) = 76720


Lets's calculate GCF of 32,3276

2 32, 3276
2 16, 1638
8, 819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76720/4

Therefore the LCM of Fractions 137/32,560/3276 is 19180

Greatest Common Factor of 32,3276 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,3276 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276

Greatest Common Factor

We found the factors 32,3276 . The biggest common factor number is the GCF number.
So the greatest common factor 32,3276 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 137/32, 560/3276

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 137/32, 560/3276?

Answer: LCM of Numerators as per given numbers 137/32, 560/3276 is

LCM of Numerators i.e. for 137,560 is 76720

GCF of denominators i.e. for 32,3276 is 4.

Thus, LCM of Fractions is 19180.Finally, LCM of Fractions for 137/32, 560/3276 is 19180.