Least Common Multiple of 14/132, 9410/2116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/132, 9410/2116 quickly i.e. 65870/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/132, 9410/2116 is 65870/4.

LCM(14/132, 9410/2116) = 65870/4

LCM of 14/132, 9410/2116

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 14/132,9410/2116

Given numbers are 14/132,9410/2116

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 14,9410

Least Common Multiple of Numerators i.e. LCM of 14,9410 is 65870.

GCF of Denominators means GCF of 132,2116 as per the given fractions.

GCF of 132,2116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,9410

LCM of Fractions 14/132,9410/2116 is 65870/4

2 14, 9410
7, 4705

∴ So the LCM of the given numbers is 2 x 7 x 4705 = 65870

Least Common Multiple of 14,9410 with GCF Formula

Least Common Multiple of 14,9410 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 14,9410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9410) = 2

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

GCF(14,9410) x common factors =2 x 1 = 2

LCM(14,9410) = ( 14 × 9410 ) / 2

LCM(14,9410) = 131740 / 2

LCM(14,9410) = 65870


Lets's calculate GCF of 132,2116

2 132, 2116
2 66, 1058
33, 529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65870/4

Therefore the LCM of Fractions 14/132,9410/2116 is 65870/4

Greatest Common Factor of 132,2116 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,2116 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Greatest Common Factor

We found the factors 132,2116 . The biggest common factor number is the GCF number.
So the greatest common factor 132,2116 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 14/132, 9410/2116

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 14/132, 9410/2116?

Answer: LCM of Numerators as per given numbers 14/132, 9410/2116 is

LCM of Numerators i.e. for 14,9410 is 65870

GCF of denominators i.e. for 132,2116 is 4.

Thus, LCM of Fractions is 65870/4.Finally, LCM of Fractions for 14/132, 9410/2116 is 65870/4.