Least Common Multiple of 35/63, 26/72, 37/90, 47/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/63, 26/72, 37/90, 47/687 quickly i.e. 1582490/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/63, 26/72, 37/90, 47/687 is 1582490/3.

LCM(35/63, 26/72, 37/90, 47/687) = 1582490/3

LCM of 35/63, 26/72, 37/90, 47/687

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 35/63,26/72,37/90,47/687

Given numbers are 35/63,26/72,37/90,47/687

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 35,26,37,47

Least Common Multiple of Numerators i.e. LCM of 35,26,37,47 is 1582490.

GCF of Denominators means GCF of 63,72,90,687 as per the given fractions.

GCF of 63,72,90,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,26,37,47

LCM of Fractions 35/63,26/72,37/90,47/687 is 1582490/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1582490

Least Common Multiple of 35,26,37,47 with GCF Formula

Least Common Multiple of 35,26,37,47 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 35,26,37,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,26,37,47) = 1

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

GCF(35,26,37,47) x common factors =1 x 1 = 1

LCM(35,26,37,47) = ( 35 × 26 × 37 × 47 ) / 1

LCM(35,26,37,47) = 1582490 / 1

LCM(35,26,37,47) = 1582490


Lets's calculate GCF of 63,72,90,687

3 63, 72, 90, 687
21, 24, 30, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1582490/3

Therefore the LCM of Fractions 35/63,26/72,37/90,47/687 is 1582490/3

Greatest Common Factor of 63,72,90,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,72,90,687 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 63,72,90,687 . The biggest common factor number is the GCF number.
So the greatest common factor 63,72,90,687 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 35/63, 26/72, 37/90, 47/687

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 35/63, 26/72, 37/90, 47/687?

Answer: LCM of Numerators as per given numbers 35/63, 26/72, 37/90, 47/687 is

LCM of Numerators i.e. for 35,26,37,47 is 1582490

GCF of denominators i.e. for 63,72,90,687 is 3.

Thus, LCM of Fractions is 1582490/3.Finally, LCM of Fractions for 35/63, 26/72, 37/90, 47/687 is 1582490/3.