Least Common Multiple of 386/52, 548/7079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/52, 548/7079 quickly i.e. 105764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/52, 548/7079 is 105764.

LCM(386/52, 548/7079) = 105764

LCM of 386/52, 548/7079

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 386/52,548/7079

Given numbers are 386/52,548/7079

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 386,548

Least Common Multiple of Numerators i.e. LCM of 386,548 is 105764.

GCF of Denominators means GCF of 52,7079 as per the given fractions.

GCF of 52,7079 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,548

LCM of Fractions 386/52,548/7079 is 105764

2 386, 548
193, 274

∴ So the LCM of the given numbers is 2 x 193 x 274 = 105764

Least Common Multiple of 386,548 with GCF Formula

Least Common Multiple of 386,548 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 386,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,548) = 2

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

GCF(386,548) x common factors =2 x 1 = 2

LCM(386,548) = ( 386 × 548 ) / 2

LCM(386,548) = 211528 / 2

LCM(386,548) = 105764


Lets's calculate GCF of 52,7079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105764/1

Therefore the LCM of Fractions 386/52,548/7079 is 105764

Greatest Common Factor of 52,7079 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,7079 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 7079

List of positive integer factors of 7079 that divides 7079 without a remainder.

1,7079

Greatest Common Factor

We found the factors 52,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 52,7079 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 386/52, 548/7079

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 386/52, 548/7079?

Answer: LCM of Numerators as per given numbers 386/52, 548/7079 is

LCM of Numerators i.e. for 386,548 is 105764

GCF of denominators i.e. for 52,7079 is 1.

Thus, LCM of Fractions is 105764.Finally, LCM of Fractions for 386/52, 548/7079 is 105764.