Least Common Multiple of 63/942, 30/882, 840/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/942, 30/882, 840/822 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/942, 30/882, 840/822 is 420.

LCM(63/942, 30/882, 840/822) = 420

LCM of 63/942, 30/882, 840/822

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 63/942,30/882,840/822

Given numbers are 63/942,30/882,840/822

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 63,30,840

Least Common Multiple of Numerators i.e. LCM of 63,30,840 is 2520.

GCF of Denominators means GCF of 942,882,822 as per the given fractions.

GCF of 942,882,822 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,30,840

LCM of Fractions 63/942,30/882,840/822 is 420

2 63, 30, 840
3 63, 15, 420
5 21, 5, 140
7 21, 1, 28
3, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 1 x 4 = 2520

Least Common Multiple of 63,30,840 with GCF Formula

Least Common Multiple of 63,30,840 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 63,30,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,30,840) = 3

common factors(in case of two or more numbers have common factors) = 210

GCF(63,30,840) x common factors =3 x 210 = 630

LCM(63,30,840) = ( 63 × 30 × 840 ) / 630

LCM(63,30,840) = 1587600 / 630

LCM(63,30,840) = 2520


Lets's calculate GCF of 942,882,822

2 942, 882, 822
3 471, 441, 411
157, 147, 137

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/6

Therefore the LCM of Fractions 63/942,30/882,840/822 is 420

Greatest Common Factor of 942,882,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,882,822 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 942,882,822 . The biggest common factor number is the GCF number.
So the greatest common factor 942,882,822 is 6.


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 63/942, 30/882, 840/822

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 63/942, 30/882, 840/822?

Answer: LCM of Numerators as per given numbers 63/942, 30/882, 840/822 is

LCM of Numerators i.e. for 63,30,840 is 2520

GCF of denominators i.e. for 942,882,822 is 6.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 63/942, 30/882, 840/822 is 420.