Least Common Multiple of 63/63, 90/23, 70/56, 19/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/63, 90/23, 70/56, 19/440 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/63, 90/23, 70/56, 19/440 is 11970.

LCM(63/63, 90/23, 70/56, 19/440) = 11970

LCM of 63/63, 90/23, 70/56, 19/440

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 63/63,90/23,70/56,19/440

Given numbers are 63/63,90/23,70/56,19/440

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 63,90,70,19

Least Common Multiple of Numerators i.e. LCM of 63,90,70,19 is 11970.

GCF of Denominators means GCF of 63,23,56,440 as per the given fractions.

GCF of 63,23,56,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,90,70,19

LCM of Fractions 63/63,90/23,70/56,19/440 is 11970

2 63, 90, 70, 19
3 63, 45, 35, 19
3 21, 15, 35, 19
5 7, 5, 35, 19
7 7, 1, 7, 19
1, 1, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 19 = 11970

Least Common Multiple of 63,90,70,19 with GCF Formula

Least Common Multiple of 63,90,70,19 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 63,90,70,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,90,70,19) = 1

common factors(in case of two or more numbers have common factors) = 630

GCF(63,90,70,19) x common factors =1 x 630 = 630

LCM(63,90,70,19) = ( 63 × 90 × 70 × 19 ) / 630

LCM(63,90,70,19) = 7541100 / 630

LCM(63,90,70,19) = 11970


Lets's calculate GCF of 63,23,56,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/1

Therefore the LCM of Fractions 63/63,90/23,70/56,19/440 is 11970

Greatest Common Factor of 63,23,56,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,23,56,440 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 63,23,56,440 . The biggest common factor number is the GCF number.
So the greatest common factor 63,23,56,440 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 63/63, 90/23, 70/56, 19/440

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 63/63, 90/23, 70/56, 19/440?

Answer: LCM of Numerators as per given numbers 63/63, 90/23, 70/56, 19/440 is

LCM of Numerators i.e. for 63,90,70,19 is 11970

GCF of denominators i.e. for 63,23,56,440 is 1.

Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 63/63, 90/23, 70/56, 19/440 is 11970.