Least Common Multiple of 12/852, 1414/9860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/852, 1414/9860 quickly i.e. 2121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/852, 1414/9860 is 2121.

LCM(12/852, 1414/9860) = 2121

LCM of 12/852, 1414/9860

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 12/852,1414/9860

Given numbers are 12/852,1414/9860

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 12,1414

Least Common Multiple of Numerators i.e. LCM of 12,1414 is 8484.

GCF of Denominators means GCF of 852,9860 as per the given fractions.

GCF of 852,9860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,1414

LCM of Fractions 12/852,1414/9860 is 2121

2 12, 1414
6, 707

∴ So the LCM of the given numbers is 2 x 6 x 707 = 8484

Least Common Multiple of 12,1414 with GCF Formula

Least Common Multiple of 12,1414 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 12,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,1414) = 2

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

GCF(12,1414) x common factors =2 x 1 = 2

LCM(12,1414) = ( 12 × 1414 ) / 2

LCM(12,1414) = 16968 / 2

LCM(12,1414) = 8484


Lets's calculate GCF of 852,9860

2 852, 9860
2 426, 4930
213, 2465

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8484/4

Therefore the LCM of Fractions 12/852,1414/9860 is 2121

Greatest Common Factor of 852,9860 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,9860 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860

Greatest Common Factor

We found the factors 852,9860 . The biggest common factor number is the GCF number.
So the greatest common factor 852,9860 is 4.


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 12/852, 1414/9860

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 12/852, 1414/9860?

Answer: LCM of Numerators as per given numbers 12/852, 1414/9860 is

LCM of Numerators i.e. for 12,1414 is 8484

GCF of denominators i.e. for 852,9860 is 4.

Thus, LCM of Fractions is 2121.Finally, LCM of Fractions for 12/852, 1414/9860 is 2121.