Least Common Multiple of 364/928, 4342/1399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/928, 4342/1399 quickly i.e. 60788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/928, 4342/1399 is 60788.

LCM(364/928, 4342/1399) = 60788

LCM of 364/928, 4342/1399

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 364/928,4342/1399

Given numbers are 364/928,4342/1399

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 364,4342

Least Common Multiple of Numerators i.e. LCM of 364,4342 is 60788.

GCF of Denominators means GCF of 928,1399 as per the given fractions.

GCF of 928,1399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,4342

LCM of Fractions 364/928,4342/1399 is 60788

2 364, 4342
13 182, 2171
14, 167

∴ So the LCM of the given numbers is 2 x 13 x 14 x 167 = 60788

Least Common Multiple of 364,4342 with GCF Formula

Least Common Multiple of 364,4342 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 364,4342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,4342) = 26

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

GCF(364,4342) x common factors =26 x 1 = 26

LCM(364,4342) = ( 364 × 4342 ) / 26

LCM(364,4342) = 1580488 / 26

LCM(364,4342) = 60788


Lets's calculate GCF of 928,1399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60788/1

Therefore the LCM of Fractions 364/928,4342/1399 is 60788

Greatest Common Factor of 928,1399 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,1399 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1,1399

Greatest Common Factor

We found the factors 928,1399 . The biggest common factor number is the GCF number.
So the greatest common factor 928,1399 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 364/928, 4342/1399

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 364/928, 4342/1399?

Answer: LCM of Numerators as per given numbers 364/928, 4342/1399 is

LCM of Numerators i.e. for 364,4342 is 60788

GCF of denominators i.e. for 928,1399 is 1.

Thus, LCM of Fractions is 60788.Finally, LCM of Fractions for 364/928, 4342/1399 is 60788.