Least Common Multiple of 222/105, 9864/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/105, 9864/630 quickly i.e. 364968/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/105, 9864/630 is 364968/105.

LCM(222/105, 9864/630) = 364968/105

LCM of 222/105, 9864/630

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 222/105,9864/630

Given numbers are 222/105,9864/630

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 222,9864

Least Common Multiple of Numerators i.e. LCM of 222,9864 is 364968.

GCF of Denominators means GCF of 105,630 as per the given fractions.

GCF of 105,630 is 105 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,9864

LCM of Fractions 222/105,9864/630 is 364968/105

2 222, 9864
3 111, 4932
37, 1644

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1644 = 364968

Least Common Multiple of 222,9864 with GCF Formula

Least Common Multiple of 222,9864 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 222,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,9864) = 6

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

GCF(222,9864) x common factors =6 x 1 = 6

LCM(222,9864) = ( 222 × 9864 ) / 6

LCM(222,9864) = 2189808 / 6

LCM(222,9864) = 364968


Lets's calculate GCF of 105,630

3 105, 630
5 35, 210
7 7, 42
1, 6

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364968/105

Therefore the LCM of Fractions 222/105,9864/630 is 364968/105

Greatest Common Factor of 105,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,630 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 105,630 . The biggest common factor number is the GCF number.
So the greatest common factor 105,630 is 105.


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 222/105, 9864/630

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 222/105, 9864/630?

Answer: LCM of Numerators as per given numbers 222/105, 9864/630 is

LCM of Numerators i.e. for 222,9864 is 364968

GCF of denominators i.e. for 105,630 is 105.

Thus, LCM of Fractions is 364968/105.Finally, LCM of Fractions for 222/105, 9864/630 is 364968/105.