Least Common Multiple of 5285/401, 2205/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5285/401, 2205/753 quickly i.e. 332955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5285/401, 2205/753 is 332955.

LCM(5285/401, 2205/753) = 332955

LCM of 5285/401, 2205/753

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 5285/401,2205/753

Given numbers are 5285/401,2205/753

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 5285,2205

Least Common Multiple of Numerators i.e. LCM of 5285,2205 is 332955.

GCF of Denominators means GCF of 401,753 as per the given fractions.

GCF of 401,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5285,2205

LCM of Fractions 5285/401,2205/753 is 332955

5 5285, 2205
7 1057, 441
151, 63

∴ So the LCM of the given numbers is 5 x 7 x 151 x 63 = 332955

Least Common Multiple of 5285,2205 with GCF Formula

Least Common Multiple of 5285,2205 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 5285,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5285,2205) = 35

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

GCF(5285,2205) x common factors =35 x 1 = 35

LCM(5285,2205) = ( 5285 × 2205 ) / 35

LCM(5285,2205) = 11653425 / 35

LCM(5285,2205) = 332955


Lets's calculate GCF of 401,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332955/1

Therefore the LCM of Fractions 5285/401,2205/753 is 332955

Greatest Common Factor of 401,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,753 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 401,753 . The biggest common factor number is the GCF number.
So the greatest common factor 401,753 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 5285/401, 2205/753

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 5285/401, 2205/753?

Answer: LCM of Numerators as per given numbers 5285/401, 2205/753 is

LCM of Numerators i.e. for 5285,2205 is 332955

GCF of denominators i.e. for 401,753 is 1.

Thus, LCM of Fractions is 332955.Finally, LCM of Fractions for 5285/401, 2205/753 is 332955.