Least Common Multiple of 434/58, 920/7429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/58, 920/7429 quickly i.e. 199640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/58, 920/7429 is 199640.

LCM(434/58, 920/7429) = 199640

LCM of 434/58, 920/7429

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 434/58,920/7429

Given numbers are 434/58,920/7429

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 434,920

Least Common Multiple of Numerators i.e. LCM of 434,920 is 199640.

GCF of Denominators means GCF of 58,7429 as per the given fractions.

GCF of 58,7429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,920

LCM of Fractions 434/58,920/7429 is 199640

2 434, 920
217, 460

∴ So the LCM of the given numbers is 2 x 217 x 460 = 199640

Least Common Multiple of 434,920 with GCF Formula

Least Common Multiple of 434,920 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 434,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,920) = 2

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

GCF(434,920) x common factors =2 x 1 = 2

LCM(434,920) = ( 434 × 920 ) / 2

LCM(434,920) = 399280 / 2

LCM(434,920) = 199640


Lets's calculate GCF of 58,7429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199640/1

Therefore the LCM of Fractions 434/58,920/7429 is 199640

Greatest Common Factor of 58,7429 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7429 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1,17,19,23,323,391,437,7429

Greatest Common Factor

We found the factors 58,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7429 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 434/58, 920/7429

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 434/58, 920/7429?

Answer: LCM of Numerators as per given numbers 434/58, 920/7429 is

LCM of Numerators i.e. for 434,920 is 199640

GCF of denominators i.e. for 58,7429 is 1.

Thus, LCM of Fractions is 199640.Finally, LCM of Fractions for 434/58, 920/7429 is 199640.