Least Common Multiple of 58/434, 9896/9142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/434, 9896/9142 quickly i.e. 286984/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/434, 9896/9142 is 286984/14.

LCM(58/434, 9896/9142) = 286984/14

LCM of 58/434, 9896/9142

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 58/434,9896/9142

Given numbers are 58/434,9896/9142

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 58,9896

Least Common Multiple of Numerators i.e. LCM of 58,9896 is 286984.

GCF of Denominators means GCF of 434,9142 as per the given fractions.

GCF of 434,9142 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,9896

LCM of Fractions 58/434,9896/9142 is 286984/14

2 58, 9896
29, 4948

∴ So the LCM of the given numbers is 2 x 29 x 4948 = 286984

Least Common Multiple of 58,9896 with GCF Formula

Least Common Multiple of 58,9896 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 58,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,9896) = 2

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

GCF(58,9896) x common factors =2 x 1 = 2

LCM(58,9896) = ( 58 × 9896 ) / 2

LCM(58,9896) = 573968 / 2

LCM(58,9896) = 286984


Lets's calculate GCF of 434,9142

2 434, 9142
7 217, 4571
31, 653

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286984/14

Therefore the LCM of Fractions 58/434,9896/9142 is 286984/14

Greatest Common Factor of 434,9142 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,9142 By Matching Biggest Common Factor Method

Factors of 434

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

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

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Greatest Common Factor

We found the factors 434,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 434,9142 is 14.


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 58/434, 9896/9142

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 58/434, 9896/9142?

Answer: LCM of Numerators as per given numbers 58/434, 9896/9142 is

LCM of Numerators i.e. for 58,9896 is 286984

GCF of denominators i.e. for 434,9142 is 14.

Thus, LCM of Fractions is 286984/14.Finally, LCM of Fractions for 58/434, 9896/9142 is 286984/14.