Least Common Multiple of 2870/743, 4199/9672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2870/743, 4199/9672 quickly i.e. 12051130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2870/743, 4199/9672 is 12051130.

LCM(2870/743, 4199/9672) = 12051130

LCM of 2870/743, 4199/9672

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 2870/743,4199/9672

Given numbers are 2870/743,4199/9672

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 2870,4199

Least Common Multiple of Numerators i.e. LCM of 2870,4199 is 12051130.

GCF of Denominators means GCF of 743,9672 as per the given fractions.

GCF of 743,9672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2870,4199

LCM of Fractions 2870/743,4199/9672 is 12051130

Given numbers has no common factors except 1. So, there LCM is their product i.e 12051130

Least Common Multiple of 2870,4199 with GCF Formula

Least Common Multiple of 2870,4199 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 2870,4199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2870,4199) = 1

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

GCF(2870,4199) x common factors =1 x 1 = 1

LCM(2870,4199) = ( 2870 × 4199 ) / 1

LCM(2870,4199) = 12051130 / 1

LCM(2870,4199) = 12051130


Lets's calculate GCF of 743,9672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12051130/1

Therefore the LCM of Fractions 2870/743,4199/9672 is 12051130

Greatest Common Factor of 743,9672 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,9672 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672

Greatest Common Factor

We found the factors 743,9672 . The biggest common factor number is the GCF number.
So the greatest common factor 743,9672 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 2870/743, 4199/9672

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 2870/743, 4199/9672?

Answer: LCM of Numerators as per given numbers 2870/743, 4199/9672 is

LCM of Numerators i.e. for 2870,4199 is 12051130

GCF of denominators i.e. for 743,9672 is 1.

Thus, LCM of Fractions is 12051130.Finally, LCM of Fractions for 2870/743, 4199/9672 is 12051130.