Least Common Multiple of 4216/954, 7309/1244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4216/954, 7309/1244 quickly i.e. 15407372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4216/954, 7309/1244 is 15407372.

LCM(4216/954, 7309/1244) = 15407372

LCM of 4216/954, 7309/1244

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 4216/954,7309/1244

Given numbers are 4216/954,7309/1244

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 4216,7309

Least Common Multiple of Numerators i.e. LCM of 4216,7309 is 30814744.

GCF of Denominators means GCF of 954,1244 as per the given fractions.

GCF of 954,1244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4216,7309

LCM of Fractions 4216/954,7309/1244 is 15407372

Given numbers has no common factors except 1. So, there LCM is their product i.e 30814744

Least Common Multiple of 4216,7309 with GCF Formula

Least Common Multiple of 4216,7309 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 4216,7309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4216,7309) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4216,7309) x common factors =1 x 1 = 1

LCM(4216,7309) = ( 4216 × 7309 ) / 1

LCM(4216,7309) = 30814744 / 1

LCM(4216,7309) = 30814744


Lets's calculate GCF of 954,1244

2 954, 1244
477, 622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30814744/2

Therefore the LCM of Fractions 4216/954,7309/1244 is 15407372

Greatest Common Factor of 954,1244 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,1244 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Greatest Common Factor

We found the factors 954,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 954,1244 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4216/954, 7309/1244

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 4216/954, 7309/1244?

Answer: LCM of Numerators as per given numbers 4216/954, 7309/1244 is

LCM of Numerators i.e. for 4216,7309 is 30814744

GCF of denominators i.e. for 954,1244 is 2.

Thus, LCM of Fractions is 15407372.Finally, LCM of Fractions for 4216/954, 7309/1244 is 15407372.