Least Common Multiple of 72/530, 227/422, 946/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/530, 227/422, 946/286 quickly i.e. 3865356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/530, 227/422, 946/286 is 3865356.

LCM(72/530, 227/422, 946/286) = 3865356

LCM of 72/530, 227/422, 946/286

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 72/530,227/422,946/286

Given numbers are 72/530,227/422,946/286

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 72,227,946

Least Common Multiple of Numerators i.e. LCM of 72,227,946 is 7730712.

GCF of Denominators means GCF of 530,422,286 as per the given fractions.

GCF of 530,422,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,227,946

LCM of Fractions 72/530,227/422,946/286 is 3865356

2 72, 227, 946
36, 227, 473

∴ So the LCM of the given numbers is 2 x 36 x 227 x 473 = 7730712

Least Common Multiple of 72,227,946 with GCF Formula

Least Common Multiple of 72,227,946 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 72,227,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,227,946) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,227,946) x common factors =1 x 2 = 2

LCM(72,227,946) = ( 72 × 227 × 946 ) / 2

LCM(72,227,946) = 15461424 / 2

LCM(72,227,946) = 7730712


Lets's calculate GCF of 530,422,286

2 530, 422, 286
265, 211, 143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7730712/2

Therefore the LCM of Fractions 72/530,227/422,946/286 is 3865356

Greatest Common Factor of 530,422,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,422,286 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 530,422,286 . The biggest common factor number is the GCF number.
So the greatest common factor 530,422,286 is 2.


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 72/530, 227/422, 946/286

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 72/530, 227/422, 946/286?

Answer: LCM of Numerators as per given numbers 72/530, 227/422, 946/286 is

LCM of Numerators i.e. for 72,227,946 is 7730712

GCF of denominators i.e. for 530,422,286 is 2.

Thus, LCM of Fractions is 3865356.Finally, LCM of Fractions for 72/530, 227/422, 946/286 is 3865356.