Least Common Multiple of 530/945, 461/647, 106/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/945, 461/647, 106/798 quickly i.e. 244330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/945, 461/647, 106/798 is 244330.

LCM(530/945, 461/647, 106/798) = 244330

LCM of 530/945, 461/647, 106/798

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 530/945,461/647,106/798

Given numbers are 530/945,461/647,106/798

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 530,461,106

Least Common Multiple of Numerators i.e. LCM of 530,461,106 is 244330.

GCF of Denominators means GCF of 945,647,798 as per the given fractions.

GCF of 945,647,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,461,106

LCM of Fractions 530/945,461/647,106/798 is 244330

2 530, 461, 106
53 265, 461, 53
5, 461, 1

∴ So the LCM of the given numbers is 2 x 53 x 5 x 461 x 1 = 244330

Least Common Multiple of 530,461,106 with GCF Formula

Least Common Multiple of 530,461,106 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 530,461,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,461,106) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(530,461,106) x common factors =1 x 106 = 106

LCM(530,461,106) = ( 530 × 461 × 106 ) / 106

LCM(530,461,106) = 25898980 / 106

LCM(530,461,106) = 244330


Lets's calculate GCF of 945,647,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244330/1

Therefore the LCM of Fractions 530/945,461/647,106/798 is 244330

Greatest Common Factor of 945,647,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,647,798 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 945,647,798 . The biggest common factor number is the GCF number.
So the greatest common factor 945,647,798 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 530/945, 461/647, 106/798

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 530/945, 461/647, 106/798?

Answer: LCM of Numerators as per given numbers 530/945, 461/647, 106/798 is

LCM of Numerators i.e. for 530,461,106 is 244330

GCF of denominators i.e. for 945,647,798 is 1.

Thus, LCM of Fractions is 244330.Finally, LCM of Fractions for 530/945, 461/647, 106/798 is 244330.