Least Common Multiple of 12/446, 762/148, 294/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/446, 762/148, 294/114 quickly i.e. 37338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/446, 762/148, 294/114 is 37338.

LCM(12/446, 762/148, 294/114) = 37338

LCM of 12/446, 762/148, 294/114

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 12/446,762/148,294/114

Given numbers are 12/446,762/148,294/114

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 12,762,294

Least Common Multiple of Numerators i.e. LCM of 12,762,294 is 74676.

GCF of Denominators means GCF of 446,148,114 as per the given fractions.

GCF of 446,148,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,762,294

LCM of Fractions 12/446,762/148,294/114 is 37338

2 12, 762, 294
3 6, 381, 147
2, 127, 49

∴ So the LCM of the given numbers is 2 x 3 x 2 x 127 x 49 = 74676

Least Common Multiple of 12,762,294 with GCF Formula

Least Common Multiple of 12,762,294 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 12,762,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,762,294) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(12,762,294) x common factors =6 x 6 = 36

LCM(12,762,294) = ( 12 × 762 × 294 ) / 36

LCM(12,762,294) = 2688336 / 36

LCM(12,762,294) = 74676


Lets's calculate GCF of 446,148,114

2 446, 148, 114
223, 74, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74676/2

Therefore the LCM of Fractions 12/446,762/148,294/114 is 37338

Greatest Common Factor of 446,148,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,148,114 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 446,148,114 . The biggest common factor number is the GCF number.
So the greatest common factor 446,148,114 is 2.


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 12/446, 762/148, 294/114

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 12/446, 762/148, 294/114?

Answer: LCM of Numerators as per given numbers 12/446, 762/148, 294/114 is

LCM of Numerators i.e. for 12,762,294 is 74676

GCF of denominators i.e. for 446,148,114 is 2.

Thus, LCM of Fractions is 37338.Finally, LCM of Fractions for 12/446, 762/148, 294/114 is 37338.