Least Common Multiple of 12/560, 35/145, 674/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/560, 35/145, 674/869 quickly i.e. 141540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/560, 35/145, 674/869 is 141540.

LCM(12/560, 35/145, 674/869) = 141540

LCM of 12/560, 35/145, 674/869

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 12/560,35/145,674/869

Given numbers are 12/560,35/145,674/869

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 12,35,674

Least Common Multiple of Numerators i.e. LCM of 12,35,674 is 141540.

GCF of Denominators means GCF of 560,145,869 as per the given fractions.

GCF of 560,145,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,35,674

LCM of Fractions 12/560,35/145,674/869 is 141540

2 12, 35, 674
6, 35, 337

∴ So the LCM of the given numbers is 2 x 6 x 35 x 337 = 141540

Least Common Multiple of 12,35,674 with GCF Formula

Least Common Multiple of 12,35,674 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 12,35,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,35,674) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,35,674) x common factors =1 x 2 = 2

LCM(12,35,674) = ( 12 × 35 × 674 ) / 2

LCM(12,35,674) = 283080 / 2

LCM(12,35,674) = 141540


Lets's calculate GCF of 560,145,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141540/1

Therefore the LCM of Fractions 12/560,35/145,674/869 is 141540

Greatest Common Factor of 560,145,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,145,869 By Matching Biggest Common Factor Method

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

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 560,145,869 . The biggest common factor number is the GCF number.
So the greatest common factor 560,145,869 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 12/560, 35/145, 674/869

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 12/560, 35/145, 674/869?

Answer: LCM of Numerators as per given numbers 12/560, 35/145, 674/869 is

LCM of Numerators i.e. for 12,35,674 is 141540

GCF of denominators i.e. for 560,145,869 is 1.

Thus, LCM of Fractions is 141540.Finally, LCM of Fractions for 12/560, 35/145, 674/869 is 141540.