Least Common Multiple of 5143/61, 4488/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5143/61, 4488/947 quickly i.e. 23081784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5143/61, 4488/947 is 23081784.

LCM(5143/61, 4488/947) = 23081784

LCM of 5143/61, 4488/947

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 5143/61,4488/947

Given numbers are 5143/61,4488/947

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 5143,4488

Least Common Multiple of Numerators i.e. LCM of 5143,4488 is 23081784.

GCF of Denominators means GCF of 61,947 as per the given fractions.

GCF of 61,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5143,4488

LCM of Fractions 5143/61,4488/947 is 23081784

Given numbers has no common factors except 1. So, there LCM is their product i.e 23081784

Least Common Multiple of 5143,4488 with GCF Formula

Least Common Multiple of 5143,4488 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 5143,4488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5143,4488) = 1

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

GCF(5143,4488) x common factors =1 x 1 = 1

LCM(5143,4488) = ( 5143 × 4488 ) / 1

LCM(5143,4488) = 23081784 / 1

LCM(5143,4488) = 23081784


Lets's calculate GCF of 61,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23081784/1

Therefore the LCM of Fractions 5143/61,4488/947 is 23081784

Greatest Common Factor of 61,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,947 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 61,947 . The biggest common factor number is the GCF number.
So the greatest common factor 61,947 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5143/61, 4488/947

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 5143/61, 4488/947?

Answer: LCM of Numerators as per given numbers 5143/61, 4488/947 is

LCM of Numerators i.e. for 5143,4488 is 23081784

GCF of denominators i.e. for 61,947 is 1.

Thus, LCM of Fractions is 23081784.Finally, LCM of Fractions for 5143/61, 4488/947 is 23081784.