Least Common Multiple of 550/24, 293/75, 946/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/24, 293/75, 946/615 quickly i.e. 6929450/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/24, 293/75, 946/615 is 6929450/3.

LCM(550/24, 293/75, 946/615) = 6929450/3

LCM of 550/24, 293/75, 946/615

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 550/24,293/75,946/615

Given numbers are 550/24,293/75,946/615

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 550,293,946

Least Common Multiple of Numerators i.e. LCM of 550,293,946 is 6929450.

GCF of Denominators means GCF of 24,75,615 as per the given fractions.

GCF of 24,75,615 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,293,946

LCM of Fractions 550/24,293/75,946/615 is 6929450/3

2 550, 293, 946
11 275, 293, 473
25, 293, 43

∴ So the LCM of the given numbers is 2 x 11 x 25 x 293 x 43 = 6929450

Least Common Multiple of 550,293,946 with GCF Formula

Least Common Multiple of 550,293,946 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 550,293,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,293,946) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(550,293,946) x common factors =1 x 22 = 22

LCM(550,293,946) = ( 550 × 293 × 946 ) / 22

LCM(550,293,946) = 152447900 / 22

LCM(550,293,946) = 6929450


Lets's calculate GCF of 24,75,615

3 24, 75, 615
8, 25, 205

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6929450/3

Therefore the LCM of Fractions 550/24,293/75,946/615 is 6929450/3

Greatest Common Factor of 24,75,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,75,615 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 24,75,615 . The biggest common factor number is the GCF number.
So the greatest common factor 24,75,615 is 3.


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 550/24, 293/75, 946/615

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 550/24, 293/75, 946/615?

Answer: LCM of Numerators as per given numbers 550/24, 293/75, 946/615 is

LCM of Numerators i.e. for 550,293,946 is 6929450

GCF of denominators i.e. for 24,75,615 is 3.

Thus, LCM of Fractions is 6929450/3.Finally, LCM of Fractions for 550/24, 293/75, 946/615 is 6929450/3.