Least Common Multiple of 63/66, 55/35, 31/18, 72/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/66, 55/35, 31/18, 72/690 quickly i.e. 859320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/66, 55/35, 31/18, 72/690 is 859320.

LCM(63/66, 55/35, 31/18, 72/690) = 859320

LCM of 63/66, 55/35, 31/18, 72/690

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 63/66,55/35,31/18,72/690

Given numbers are 63/66,55/35,31/18,72/690

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 63,55,31,72

Least Common Multiple of Numerators i.e. LCM of 63,55,31,72 is 859320.

GCF of Denominators means GCF of 66,35,18,690 as per the given fractions.

GCF of 66,35,18,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,55,31,72

LCM of Fractions 63/66,55/35,31/18,72/690 is 859320

3 63, 55, 31, 72
3 21, 55, 31, 24
7, 55, 31, 8

∴ So the LCM of the given numbers is 3 x 3 x 7 x 55 x 31 x 8 = 859320

Least Common Multiple of 63,55,31,72 with GCF Formula

Least Common Multiple of 63,55,31,72 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 63,55,31,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,55,31,72) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(63,55,31,72) x common factors =1 x 9 = 9

LCM(63,55,31,72) = ( 63 × 55 × 31 × 72 ) / 9

LCM(63,55,31,72) = 7733880 / 9

LCM(63,55,31,72) = 859320


Lets's calculate GCF of 66,35,18,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859320/1

Therefore the LCM of Fractions 63/66,55/35,31/18,72/690 is 859320

Greatest Common Factor of 66,35,18,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,35,18,690 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 66,35,18,690 . The biggest common factor number is the GCF number.
So the greatest common factor 66,35,18,690 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 63/66, 55/35, 31/18, 72/690

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 63/66, 55/35, 31/18, 72/690?

Answer: LCM of Numerators as per given numbers 63/66, 55/35, 31/18, 72/690 is

LCM of Numerators i.e. for 63,55,31,72 is 859320

GCF of denominators i.e. for 66,35,18,690 is 1.

Thus, LCM of Fractions is 859320.Finally, LCM of Fractions for 63/66, 55/35, 31/18, 72/690 is 859320.