Least Common Multiple of 114/942, 133/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/942, 133/699 quickly i.e. 266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/942, 133/699 is 266.

LCM(114/942, 133/699) = 266

LCM of 114/942, 133/699

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 114/942,133/699

Given numbers are 114/942,133/699

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 114,133

Least Common Multiple of Numerators i.e. LCM of 114,133 is 798.

GCF of Denominators means GCF of 942,699 as per the given fractions.

GCF of 942,699 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,133

LCM of Fractions 114/942,133/699 is 266

19 114, 133
6, 7

∴ So the LCM of the given numbers is 19 x 6 x 7 = 798

Least Common Multiple of 114,133 with GCF Formula

Least Common Multiple of 114,133 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 114,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,133) = 19

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

GCF(114,133) x common factors =19 x 1 = 19

LCM(114,133) = ( 114 × 133 ) / 19

LCM(114,133) = 15162 / 19

LCM(114,133) = 798


Lets's calculate GCF of 942,699

3 942, 699
314, 233

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798/3

Therefore the LCM of Fractions 114/942,133/699 is 266

Greatest Common Factor of 942,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,699 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 942,699 . The biggest common factor number is the GCF number.
So the greatest common factor 942,699 is 3.


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 114/942, 133/699

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 114/942, 133/699?

Answer: LCM of Numerators as per given numbers 114/942, 133/699 is

LCM of Numerators i.e. for 114,133 is 798

GCF of denominators i.e. for 942,699 is 3.

Thus, LCM of Fractions is 266.Finally, LCM of Fractions for 114/942, 133/699 is 266.