Least Common Multiple of 3/430, 58/415, 15/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/430, 58/415, 15/815 quickly i.e. 174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/430, 58/415, 15/815 is 174.

LCM(3/430, 58/415, 15/815) = 174

LCM of 3/430, 58/415, 15/815

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 3/430,58/415,15/815

Given numbers are 3/430,58/415,15/815

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 3,58,15

Least Common Multiple of Numerators i.e. LCM of 3,58,15 is 870.

GCF of Denominators means GCF of 430,415,815 as per the given fractions.

GCF of 430,415,815 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,58,15

LCM of Fractions 3/430,58/415,15/815 is 174

3 3, 58, 15
1, 58, 5

∴ So the LCM of the given numbers is 3 x 1 x 58 x 5 = 870

Least Common Multiple of 3,58,15 with GCF Formula

Least Common Multiple of 3,58,15 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 3,58,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,58,15) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,58,15) x common factors =1 x 3 = 3

LCM(3,58,15) = ( 3 × 58 × 15 ) / 3

LCM(3,58,15) = 2610 / 3

LCM(3,58,15) = 870


Lets's calculate GCF of 430,415,815

5 430, 415, 815
86, 83, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870/5

Therefore the LCM of Fractions 3/430,58/415,15/815 is 174

Greatest Common Factor of 430,415,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,415,815 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 430,415,815 . The biggest common factor number is the GCF number.
So the greatest common factor 430,415,815 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 3/430, 58/415, 15/815

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 3/430, 58/415, 15/815?

Answer: LCM of Numerators as per given numbers 3/430, 58/415, 15/815 is

LCM of Numerators i.e. for 3,58,15 is 870

GCF of denominators i.e. for 430,415,815 is 5.

Thus, LCM of Fractions is 174.Finally, LCM of Fractions for 3/430, 58/415, 15/815 is 174.