Least Common Multiple of 13/342, 536/761, 958/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/342, 536/761, 958/434 quickly i.e. 3337672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/342, 536/761, 958/434 is 3337672.

LCM(13/342, 536/761, 958/434) = 3337672

LCM of 13/342, 536/761, 958/434

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 13/342,536/761,958/434

Given numbers are 13/342,536/761,958/434

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 13,536,958

Least Common Multiple of Numerators i.e. LCM of 13,536,958 is 3337672.

GCF of Denominators means GCF of 342,761,434 as per the given fractions.

GCF of 342,761,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,536,958

LCM of Fractions 13/342,536/761,958/434 is 3337672

2 13, 536, 958
13, 268, 479

∴ So the LCM of the given numbers is 2 x 13 x 268 x 479 = 3337672

Least Common Multiple of 13,536,958 with GCF Formula

Least Common Multiple of 13,536,958 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 13,536,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,536,958) = 1

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

GCF(13,536,958) x common factors =1 x 2 = 2

LCM(13,536,958) = ( 13 × 536 × 958 ) / 2

LCM(13,536,958) = 6675344 / 2

LCM(13,536,958) = 3337672


Lets's calculate GCF of 342,761,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3337672/1

Therefore the LCM of Fractions 13/342,536/761,958/434 is 3337672

Greatest Common Factor of 342,761,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,761,434 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 342,761,434 . The biggest common factor number is the GCF number.
So the greatest common factor 342,761,434 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 13/342, 536/761, 958/434

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 13/342, 536/761, 958/434?

Answer: LCM of Numerators as per given numbers 13/342, 536/761, 958/434 is

LCM of Numerators i.e. for 13,536,958 is 3337672

GCF of denominators i.e. for 342,761,434 is 1.

Thus, LCM of Fractions is 3337672.Finally, LCM of Fractions for 13/342, 536/761, 958/434 is 3337672.