Least Common Multiple of 364/86, 749/7385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/86, 749/7385 quickly i.e. 38948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/86, 749/7385 is 38948.

LCM(364/86, 749/7385) = 38948

LCM of 364/86, 749/7385

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 364/86,749/7385

Given numbers are 364/86,749/7385

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 364,749

Least Common Multiple of Numerators i.e. LCM of 364,749 is 38948.

GCF of Denominators means GCF of 86,7385 as per the given fractions.

GCF of 86,7385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,749

LCM of Fractions 364/86,749/7385 is 38948

7 364, 749
52, 107

∴ So the LCM of the given numbers is 7 x 52 x 107 = 38948

Least Common Multiple of 364,749 with GCF Formula

Least Common Multiple of 364,749 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 364,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,749) = 7

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

GCF(364,749) x common factors =7 x 1 = 7

LCM(364,749) = ( 364 × 749 ) / 7

LCM(364,749) = 272636 / 7

LCM(364,749) = 38948


Lets's calculate GCF of 86,7385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38948/1

Therefore the LCM of Fractions 364/86,749/7385 is 38948

Greatest Common Factor of 86,7385 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,7385 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

Greatest Common Factor

We found the factors 86,7385 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7385 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 364/86, 749/7385

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 364/86, 749/7385?

Answer: LCM of Numerators as per given numbers 364/86, 749/7385 is

LCM of Numerators i.e. for 364,749 is 38948

GCF of denominators i.e. for 86,7385 is 1.

Thus, LCM of Fractions is 38948.Finally, LCM of Fractions for 364/86, 749/7385 is 38948.