Least Common Multiple of 430/75, 6235/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/75, 6235/155 quickly i.e. 2494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/75, 6235/155 is 2494.

LCM(430/75, 6235/155) = 2494

LCM of 430/75, 6235/155

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 430/75,6235/155

Given numbers are 430/75,6235/155

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 430,6235

Least Common Multiple of Numerators i.e. LCM of 430,6235 is 12470.

GCF of Denominators means GCF of 75,155 as per the given fractions.

GCF of 75,155 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,6235

LCM of Fractions 430/75,6235/155 is 2494

5 430, 6235
43 86, 1247
2, 29

∴ So the LCM of the given numbers is 5 x 43 x 2 x 29 = 12470

Least Common Multiple of 430,6235 with GCF Formula

Least Common Multiple of 430,6235 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 430,6235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,6235) = 215

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

GCF(430,6235) x common factors =215 x 1 = 215

LCM(430,6235) = ( 430 × 6235 ) / 215

LCM(430,6235) = 2681050 / 215

LCM(430,6235) = 12470


Lets's calculate GCF of 75,155

5 75, 155
15, 31

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12470/5

Therefore the LCM of Fractions 430/75,6235/155 is 2494

Greatest Common Factor of 75,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,155 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 75,155 . The biggest common factor number is the GCF number.
So the greatest common factor 75,155 is 5.


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 430/75, 6235/155

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 430/75, 6235/155?

Answer: LCM of Numerators as per given numbers 430/75, 6235/155 is

LCM of Numerators i.e. for 430,6235 is 12470

GCF of denominators i.e. for 75,155 is 5.

Thus, LCM of Fractions is 2494.Finally, LCM of Fractions for 430/75, 6235/155 is 2494.