Least Common Multiple of 730/572, 946/225, 126/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/572, 946/225, 126/871 quickly i.e. 21753270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/572, 946/225, 126/871 is 21753270.

LCM(730/572, 946/225, 126/871) = 21753270

LCM of 730/572, 946/225, 126/871

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 730/572,946/225,126/871

Given numbers are 730/572,946/225,126/871

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 730,946,126

Least Common Multiple of Numerators i.e. LCM of 730,946,126 is 21753270.

GCF of Denominators means GCF of 572,225,871 as per the given fractions.

GCF of 572,225,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,946,126

LCM of Fractions 730/572,946/225,126/871 is 21753270

2 730, 946, 126
365, 473, 63

∴ So the LCM of the given numbers is 2 x 365 x 473 x 63 = 21753270

Least Common Multiple of 730,946,126 with GCF Formula

Least Common Multiple of 730,946,126 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 730,946,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,946,126) = 2

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

GCF(730,946,126) x common factors =2 x 2 = 4

LCM(730,946,126) = ( 730 × 946 × 126 ) / 4

LCM(730,946,126) = 87013080 / 4

LCM(730,946,126) = 21753270


Lets's calculate GCF of 572,225,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21753270/1

Therefore the LCM of Fractions 730/572,946/225,126/871 is 21753270

Greatest Common Factor of 572,225,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,225,871 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 572,225,871 . The biggest common factor number is the GCF number.
So the greatest common factor 572,225,871 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 730/572, 946/225, 126/871

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 730/572, 946/225, 126/871?

Answer: LCM of Numerators as per given numbers 730/572, 946/225, 126/871 is

LCM of Numerators i.e. for 730,946,126 is 21753270

GCF of denominators i.e. for 572,225,871 is 1.

Thus, LCM of Fractions is 21753270.Finally, LCM of Fractions for 730/572, 946/225, 126/871 is 21753270.