Least Common Multiple of 334/325, 537/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 334/325, 537/560 quickly i.e. 179358/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/325, 537/560 is 179358/5.

LCM(334/325, 537/560) = 179358/5

LCM of 334/325, 537/560

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 334/325,537/560

Given numbers are 334/325,537/560

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 334,537

Least Common Multiple of Numerators i.e. LCM of 334,537 is 179358.

GCF of Denominators means GCF of 325,560 as per the given fractions.

GCF of 325,560 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,537

LCM of Fractions 334/325,537/560 is 179358/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 179358

Least Common Multiple of 334,537 with GCF Formula

Least Common Multiple of 334,537 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 334,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,537) = 1

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

GCF(334,537) x common factors =1 x 1 = 1

LCM(334,537) = ( 334 × 537 ) / 1

LCM(334,537) = 179358 / 1

LCM(334,537) = 179358


Lets's calculate GCF of 325,560

5 325, 560
65, 112

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179358/5

Therefore the LCM of Fractions 334/325,537/560 is 179358/5

Greatest Common Factor of 325,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,560 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 325,560 . The biggest common factor number is the GCF number.
So the greatest common factor 325,560 is 5.


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 334/325, 537/560

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 334/325, 537/560?

Answer: LCM of Numerators as per given numbers 334/325, 537/560 is

LCM of Numerators i.e. for 334,537 is 179358

GCF of denominators i.e. for 325,560 is 5.

Thus, LCM of Fractions is 179358/5.Finally, LCM of Fractions for 334/325, 537/560 is 179358/5.