Least Common Multiple of 412/35, 560/3460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/35, 560/3460 quickly i.e. 11536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/35, 560/3460 is 11536.

LCM(412/35, 560/3460) = 11536

LCM of 412/35, 560/3460

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 412/35,560/3460

Given numbers are 412/35,560/3460

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 412,560

Least Common Multiple of Numerators i.e. LCM of 412,560 is 57680.

GCF of Denominators means GCF of 35,3460 as per the given fractions.

GCF of 35,3460 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,560

LCM of Fractions 412/35,560/3460 is 11536

2 412, 560
2 206, 280
103, 140

∴ So the LCM of the given numbers is 2 x 2 x 103 x 140 = 57680

Least Common Multiple of 412,560 with GCF Formula

Least Common Multiple of 412,560 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 412,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,560) = 4

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

GCF(412,560) x common factors =4 x 1 = 4

LCM(412,560) = ( 412 × 560 ) / 4

LCM(412,560) = 230720 / 4

LCM(412,560) = 57680


Lets's calculate GCF of 35,3460

5 35, 3460
7, 692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57680/5

Therefore the LCM of Fractions 412/35,560/3460 is 11536

Greatest Common Factor of 35,3460 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,3460 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Greatest Common Factor

We found the factors 35,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 35,3460 is 5.


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 412/35, 560/3460

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 412/35, 560/3460?

Answer: LCM of Numerators as per given numbers 412/35, 560/3460 is

LCM of Numerators i.e. for 412,560 is 57680

GCF of denominators i.e. for 35,3460 is 5.

Thus, LCM of Fractions is 11536.Finally, LCM of Fractions for 412/35, 560/3460 is 11536.