Least Common Multiple of 374/123, 9622/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/123, 9622/888 quickly i.e. 105842/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/123, 9622/888 is 105842/3.

LCM(374/123, 9622/888) = 105842/3

LCM of 374/123, 9622/888

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 374/123,9622/888

Given numbers are 374/123,9622/888

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 374,9622

Least Common Multiple of Numerators i.e. LCM of 374,9622 is 105842.

GCF of Denominators means GCF of 123,888 as per the given fractions.

GCF of 123,888 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,9622

LCM of Fractions 374/123,9622/888 is 105842/3

2 374, 9622
17 187, 4811
11, 283

∴ So the LCM of the given numbers is 2 x 17 x 11 x 283 = 105842

Least Common Multiple of 374,9622 with GCF Formula

Least Common Multiple of 374,9622 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 374,9622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,9622) = 34

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

GCF(374,9622) x common factors =34 x 1 = 34

LCM(374,9622) = ( 374 × 9622 ) / 34

LCM(374,9622) = 3598628 / 34

LCM(374,9622) = 105842


Lets's calculate GCF of 123,888

3 123, 888
41, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105842/3

Therefore the LCM of Fractions 374/123,9622/888 is 105842/3

Greatest Common Factor of 123,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,888 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 123,888 . The biggest common factor number is the GCF number.
So the greatest common factor 123,888 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 374/123, 9622/888

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 374/123, 9622/888?

Answer: LCM of Numerators as per given numbers 374/123, 9622/888 is

LCM of Numerators i.e. for 374,9622 is 105842

GCF of denominators i.e. for 123,888 is 3.

Thus, LCM of Fractions is 105842/3.Finally, LCM of Fractions for 374/123, 9622/888 is 105842/3.