Least Common Multiple of 434/13, 135/8380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 434/13, 135/8380 quickly i.e. 58590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/13, 135/8380 is 58590.

LCM(434/13, 135/8380) = 58590

LCM of 434/13, 135/8380

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 434/13,135/8380

Given numbers are 434/13,135/8380

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 434,135

Least Common Multiple of Numerators i.e. LCM of 434,135 is 58590.

GCF of Denominators means GCF of 13,8380 as per the given fractions.

GCF of 13,8380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,135

LCM of Fractions 434/13,135/8380 is 58590

Given numbers has no common factors except 1. So, there LCM is their product i.e 58590

Least Common Multiple of 434,135 with GCF Formula

Least Common Multiple of 434,135 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 434,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,135) = 1

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

GCF(434,135) x common factors =1 x 1 = 1

LCM(434,135) = ( 434 × 135 ) / 1

LCM(434,135) = 58590 / 1

LCM(434,135) = 58590


Lets's calculate GCF of 13,8380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58590/1

Therefore the LCM of Fractions 434/13,135/8380 is 58590

Greatest Common Factor of 13,8380 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,8380 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Greatest Common Factor

We found the factors 13,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 13,8380 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 434/13, 135/8380

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 434/13, 135/8380?

Answer: LCM of Numerators as per given numbers 434/13, 135/8380 is

LCM of Numerators i.e. for 434,135 is 58590

GCF of denominators i.e. for 13,8380 is 1.

Thus, LCM of Fractions is 58590.Finally, LCM of Fractions for 434/13, 135/8380 is 58590.