Least Common Multiple of 434/40, 558/2694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/40, 558/2694 quickly i.e. 1953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/40, 558/2694 is 1953.

LCM(434/40, 558/2694) = 1953

LCM of 434/40, 558/2694

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 434/40,558/2694

Given numbers are 434/40,558/2694

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 434,558

Least Common Multiple of Numerators i.e. LCM of 434,558 is 3906.

GCF of Denominators means GCF of 40,2694 as per the given fractions.

GCF of 40,2694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,558

LCM of Fractions 434/40,558/2694 is 1953

2 434, 558
31 217, 279
7, 9

∴ So the LCM of the given numbers is 2 x 31 x 7 x 9 = 3906

Least Common Multiple of 434,558 with GCF Formula

Least Common Multiple of 434,558 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 434,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,558) = 62

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

GCF(434,558) x common factors =62 x 1 = 62

LCM(434,558) = ( 434 × 558 ) / 62

LCM(434,558) = 242172 / 62

LCM(434,558) = 3906


Lets's calculate GCF of 40,2694

2 40, 2694
20, 1347

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3906/2

Therefore the LCM of Fractions 434/40,558/2694 is 1953

Greatest Common Factor of 40,2694 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,2694 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1,2,3,6,449,898,1347,2694

Greatest Common Factor

We found the factors 40,2694 . The biggest common factor number is the GCF number.
So the greatest common factor 40,2694 is 2.


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 434/40, 558/2694

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 434/40, 558/2694?

Answer: LCM of Numerators as per given numbers 434/40, 558/2694 is

LCM of Numerators i.e. for 434,558 is 3906

GCF of denominators i.e. for 40,2694 is 2.

Thus, LCM of Fractions is 1953.Finally, LCM of Fractions for 434/40, 558/2694 is 1953.