Least Common Multiple of 150/584, 234/707, 413/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/584, 234/707, 413/813 quickly i.e. 2416050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/584, 234/707, 413/813 is 2416050.

LCM(150/584, 234/707, 413/813) = 2416050

LCM of 150/584, 234/707, 413/813

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 150/584,234/707,413/813

Given numbers are 150/584,234/707,413/813

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 150,234,413

Least Common Multiple of Numerators i.e. LCM of 150,234,413 is 2416050.

GCF of Denominators means GCF of 584,707,813 as per the given fractions.

GCF of 584,707,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,234,413

LCM of Fractions 150/584,234/707,413/813 is 2416050

2 150, 234, 413
3 75, 117, 413
25, 39, 413

∴ So the LCM of the given numbers is 2 x 3 x 25 x 39 x 413 = 2416050

Least Common Multiple of 150,234,413 with GCF Formula

Least Common Multiple of 150,234,413 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 150,234,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,234,413) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(150,234,413) x common factors =1 x 6 = 6

LCM(150,234,413) = ( 150 × 234 × 413 ) / 6

LCM(150,234,413) = 14496300 / 6

LCM(150,234,413) = 2416050


Lets's calculate GCF of 584,707,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2416050/1

Therefore the LCM of Fractions 150/584,234/707,413/813 is 2416050

Greatest Common Factor of 584,707,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,707,813 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 584,707,813 . The biggest common factor number is the GCF number.
So the greatest common factor 584,707,813 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 150/584, 234/707, 413/813

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 150/584, 234/707, 413/813?

Answer: LCM of Numerators as per given numbers 150/584, 234/707, 413/813 is

LCM of Numerators i.e. for 150,234,413 is 2416050

GCF of denominators i.e. for 584,707,813 is 1.

Thus, LCM of Fractions is 2416050.Finally, LCM of Fractions for 150/584, 234/707, 413/813 is 2416050.