Least Common Multiple of 105/91, 364/3603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/91, 364/3603 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/91, 364/3603 is 5460.

LCM(105/91, 364/3603) = 5460

LCM of 105/91, 364/3603

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 105/91,364/3603

Given numbers are 105/91,364/3603

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 105,364

Least Common Multiple of Numerators i.e. LCM of 105,364 is 5460.

GCF of Denominators means GCF of 91,3603 as per the given fractions.

GCF of 91,3603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,364

LCM of Fractions 105/91,364/3603 is 5460

7 105, 364
15, 52

∴ So the LCM of the given numbers is 7 x 15 x 52 = 5460

Least Common Multiple of 105,364 with GCF Formula

Least Common Multiple of 105,364 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 105,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,364) = 7

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

GCF(105,364) x common factors =7 x 1 = 7

LCM(105,364) = ( 105 × 364 ) / 7

LCM(105,364) = 38220 / 7

LCM(105,364) = 5460


Lets's calculate GCF of 91,3603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/1

Therefore the LCM of Fractions 105/91,364/3603 is 5460

Greatest Common Factor of 91,3603 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,3603 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors 91,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 91,3603 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 105/91, 364/3603

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 105/91, 364/3603?

Answer: LCM of Numerators as per given numbers 105/91, 364/3603 is

LCM of Numerators i.e. for 105,364 is 5460

GCF of denominators i.e. for 91,3603 is 1.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 105/91, 364/3603 is 5460.