Least Common Multiple of 42/753, 5790/7005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/753, 5790/7005 quickly i.e. 13510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/753, 5790/7005 is 13510.

LCM(42/753, 5790/7005) = 13510

LCM of 42/753, 5790/7005

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 42/753,5790/7005

Given numbers are 42/753,5790/7005

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 42,5790

Least Common Multiple of Numerators i.e. LCM of 42,5790 is 40530.

GCF of Denominators means GCF of 753,7005 as per the given fractions.

GCF of 753,7005 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,5790

LCM of Fractions 42/753,5790/7005 is 13510

2 42, 5790
3 21, 2895
7, 965

∴ So the LCM of the given numbers is 2 x 3 x 7 x 965 = 40530

Least Common Multiple of 42,5790 with GCF Formula

Least Common Multiple of 42,5790 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 42,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,5790) = 6

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

GCF(42,5790) x common factors =6 x 1 = 6

LCM(42,5790) = ( 42 × 5790 ) / 6

LCM(42,5790) = 243180 / 6

LCM(42,5790) = 40530


Lets's calculate GCF of 753,7005

3 753, 7005
251, 2335

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40530/3

Therefore the LCM of Fractions 42/753,5790/7005 is 13510

Greatest Common Factor of 753,7005 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,7005 By Matching Biggest Common Factor Method

Factors of 753

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

1,3,251,753

Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1,3,5,15,467,1401,2335,7005

Greatest Common Factor

We found the factors 753,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 753,7005 is 3.


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 42/753, 5790/7005

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 42/753, 5790/7005?

Answer: LCM of Numerators as per given numbers 42/753, 5790/7005 is

LCM of Numerators i.e. for 42,5790 is 40530

GCF of denominators i.e. for 753,7005 is 3.

Thus, LCM of Fractions is 13510.Finally, LCM of Fractions for 42/753, 5790/7005 is 13510.