Least Common Multiple of 3414/260, 6376/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3414/260, 6376/475 quickly i.e. 10883832/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3414/260, 6376/475 is 10883832/5.

LCM(3414/260, 6376/475) = 10883832/5

LCM of 3414/260, 6376/475

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 3414/260,6376/475

Given numbers are 3414/260,6376/475

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 3414,6376

Least Common Multiple of Numerators i.e. LCM of 3414,6376 is 10883832.

GCF of Denominators means GCF of 260,475 as per the given fractions.

GCF of 260,475 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3414,6376

LCM of Fractions 3414/260,6376/475 is 10883832/5

2 3414, 6376
1707, 3188

∴ So the LCM of the given numbers is 2 x 1707 x 3188 = 10883832

Least Common Multiple of 3414,6376 with GCF Formula

Least Common Multiple of 3414,6376 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 3414,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3414,6376) = 2

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

GCF(3414,6376) x common factors =2 x 1 = 2

LCM(3414,6376) = ( 3414 × 6376 ) / 2

LCM(3414,6376) = 21767664 / 2

LCM(3414,6376) = 10883832


Lets's calculate GCF of 260,475

5 260, 475
52, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10883832/5

Therefore the LCM of Fractions 3414/260,6376/475 is 10883832/5

Greatest Common Factor of 260,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,475 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 260,475 . The biggest common factor number is the GCF number.
So the greatest common factor 260,475 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 3414/260, 6376/475

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 3414/260, 6376/475?

Answer: LCM of Numerators as per given numbers 3414/260, 6376/475 is

LCM of Numerators i.e. for 3414,6376 is 10883832

GCF of denominators i.e. for 260,475 is 5.

Thus, LCM of Fractions is 10883832/5.Finally, LCM of Fractions for 3414/260, 6376/475 is 10883832/5.