Least Common Multiple of 326/57, 399/62, 314/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/57, 399/62, 314/114 quickly i.e. 20421618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/57, 399/62, 314/114 is 20421618.

LCM(326/57, 399/62, 314/114) = 20421618

LCM of 326/57, 399/62, 314/114

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 326/57,399/62,314/114

Given numbers are 326/57,399/62,314/114

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 326,399,314

Least Common Multiple of Numerators i.e. LCM of 326,399,314 is 20421618.

GCF of Denominators means GCF of 57,62,114 as per the given fractions.

GCF of 57,62,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,399,314

LCM of Fractions 326/57,399/62,314/114 is 20421618

2 326, 399, 314
163, 399, 157

∴ So the LCM of the given numbers is 2 x 163 x 399 x 157 = 20421618

Least Common Multiple of 326,399,314 with GCF Formula

Least Common Multiple of 326,399,314 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 326,399,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,399,314) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(326,399,314) x common factors =1 x 2 = 2

LCM(326,399,314) = ( 326 × 399 × 314 ) / 2

LCM(326,399,314) = 40843236 / 2

LCM(326,399,314) = 20421618


Lets's calculate GCF of 57,62,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20421618/1

Therefore the LCM of Fractions 326/57,399/62,314/114 is 20421618

Greatest Common Factor of 57,62,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,62,114 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 57,62,114 . The biggest common factor number is the GCF number.
So the greatest common factor 57,62,114 is 1.


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 326/57, 399/62, 314/114

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 326/57, 399/62, 314/114?

Answer: LCM of Numerators as per given numbers 326/57, 399/62, 314/114 is

LCM of Numerators i.e. for 326,399,314 is 20421618

GCF of denominators i.e. for 57,62,114 is 1.

Thus, LCM of Fractions is 20421618.Finally, LCM of Fractions for 326/57, 399/62, 314/114 is 20421618.