Least Common Multiple of 388/32, 868/38, 972/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/32, 868/38, 972/154 quickly i.e. 10229814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/32, 868/38, 972/154 is 10229814.

LCM(388/32, 868/38, 972/154) = 10229814

LCM of 388/32, 868/38, 972/154

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 388/32,868/38,972/154

Given numbers are 388/32,868/38,972/154

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 388,868,972

Least Common Multiple of Numerators i.e. LCM of 388,868,972 is 20459628.

GCF of Denominators means GCF of 32,38,154 as per the given fractions.

GCF of 32,38,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,868,972

LCM of Fractions 388/32,868/38,972/154 is 10229814

2 388, 868, 972
2 194, 434, 486
97, 217, 243

∴ So the LCM of the given numbers is 2 x 2 x 97 x 217 x 243 = 20459628

Least Common Multiple of 388,868,972 with GCF Formula

Least Common Multiple of 388,868,972 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 388,868,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,868,972) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(388,868,972) x common factors =4 x 4 = 16

LCM(388,868,972) = ( 388 × 868 × 972 ) / 16

LCM(388,868,972) = 327354048 / 16

LCM(388,868,972) = 20459628


Lets's calculate GCF of 32,38,154

2 32, 38, 154
16, 19, 77

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20459628/2

Therefore the LCM of Fractions 388/32,868/38,972/154 is 10229814

Greatest Common Factor of 32,38,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,38,154 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 32,38,154 . The biggest common factor number is the GCF number.
So the greatest common factor 32,38,154 is 2.


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 388/32, 868/38, 972/154

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 388/32, 868/38, 972/154?

Answer: LCM of Numerators as per given numbers 388/32, 868/38, 972/154 is

LCM of Numerators i.e. for 388,868,972 is 20459628

GCF of denominators i.e. for 32,38,154 is 2.

Thus, LCM of Fractions is 10229814.Finally, LCM of Fractions for 388/32, 868/38, 972/154 is 10229814.