Least Common Multiple of 67/681, 15/498, 560/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/681, 15/498, 560/440 quickly i.e. 112560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/681, 15/498, 560/440 is 112560.

LCM(67/681, 15/498, 560/440) = 112560

LCM of 67/681, 15/498, 560/440

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 67/681,15/498,560/440

Given numbers are 67/681,15/498,560/440

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 67,15,560

Least Common Multiple of Numerators i.e. LCM of 67,15,560 is 112560.

GCF of Denominators means GCF of 681,498,440 as per the given fractions.

GCF of 681,498,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,15,560

LCM of Fractions 67/681,15/498,560/440 is 112560

5 67, 15, 560
67, 3, 112

∴ So the LCM of the given numbers is 5 x 67 x 3 x 112 = 112560

Least Common Multiple of 67,15,560 with GCF Formula

Least Common Multiple of 67,15,560 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 67,15,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,15,560) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,15,560) x common factors =1 x 5 = 5

LCM(67,15,560) = ( 67 × 15 × 560 ) / 5

LCM(67,15,560) = 562800 / 5

LCM(67,15,560) = 112560


Lets's calculate GCF of 681,498,440

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112560/1

Therefore the LCM of Fractions 67/681,15/498,560/440 is 112560

Greatest Common Factor of 681,498,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,498,440 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 681,498,440 . The biggest common factor number is the GCF number.
So the greatest common factor 681,498,440 is 1.


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 67/681, 15/498, 560/440

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 67/681, 15/498, 560/440?

Answer: LCM of Numerators as per given numbers 67/681, 15/498, 560/440 is

LCM of Numerators i.e. for 67,15,560 is 112560

GCF of denominators i.e. for 681,498,440 is 1.

Thus, LCM of Fractions is 112560.Finally, LCM of Fractions for 67/681, 15/498, 560/440 is 112560.