Least Common Multiple of 38/854, 611/234, 492/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/854, 611/234, 492/307 quickly i.e. 5711628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/854, 611/234, 492/307 is 5711628.

LCM(38/854, 611/234, 492/307) = 5711628

LCM of 38/854, 611/234, 492/307

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 38/854,611/234,492/307

Given numbers are 38/854,611/234,492/307

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 38,611,492

Least Common Multiple of Numerators i.e. LCM of 38,611,492 is 5711628.

GCF of Denominators means GCF of 854,234,307 as per the given fractions.

GCF of 854,234,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,611,492

LCM of Fractions 38/854,611/234,492/307 is 5711628

2 38, 611, 492
19, 611, 246

∴ So the LCM of the given numbers is 2 x 19 x 611 x 246 = 5711628

Least Common Multiple of 38,611,492 with GCF Formula

Least Common Multiple of 38,611,492 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 38,611,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,611,492) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,611,492) x common factors =1 x 2 = 2

LCM(38,611,492) = ( 38 × 611 × 492 ) / 2

LCM(38,611,492) = 11423256 / 2

LCM(38,611,492) = 5711628


Lets's calculate GCF of 854,234,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5711628/1

Therefore the LCM of Fractions 38/854,611/234,492/307 is 5711628

Greatest Common Factor of 854,234,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,234,307 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 854,234,307 . The biggest common factor number is the GCF number.
So the greatest common factor 854,234,307 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 38/854, 611/234, 492/307

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 38/854, 611/234, 492/307?

Answer: LCM of Numerators as per given numbers 38/854, 611/234, 492/307 is

LCM of Numerators i.e. for 38,611,492 is 5711628

GCF of denominators i.e. for 854,234,307 is 1.

Thus, LCM of Fractions is 5711628.Finally, LCM of Fractions for 38/854, 611/234, 492/307 is 5711628.