Least Common Multiple of 985/38, 546/88, 519/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/38, 546/88, 519/427 quickly i.e. 93041130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/38, 546/88, 519/427 is 93041130.

LCM(985/38, 546/88, 519/427) = 93041130

LCM of 985/38, 546/88, 519/427

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 985/38,546/88,519/427

Given numbers are 985/38,546/88,519/427

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 985,546,519

Least Common Multiple of Numerators i.e. LCM of 985,546,519 is 93041130.

GCF of Denominators means GCF of 38,88,427 as per the given fractions.

GCF of 38,88,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,546,519

LCM of Fractions 985/38,546/88,519/427 is 93041130

3 985, 546, 519
985, 182, 173

∴ So the LCM of the given numbers is 3 x 985 x 182 x 173 = 93041130

Least Common Multiple of 985,546,519 with GCF Formula

Least Common Multiple of 985,546,519 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 985,546,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,546,519) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(985,546,519) x common factors =1 x 3 = 3

LCM(985,546,519) = ( 985 × 546 × 519 ) / 3

LCM(985,546,519) = 279123390 / 3

LCM(985,546,519) = 93041130


Lets's calculate GCF of 38,88,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93041130/1

Therefore the LCM of Fractions 985/38,546/88,519/427 is 93041130

Greatest Common Factor of 38,88,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,88,427 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 38,88,427 . The biggest common factor number is the GCF number.
So the greatest common factor 38,88,427 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 985/38, 546/88, 519/427

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 985/38, 546/88, 519/427?

Answer: LCM of Numerators as per given numbers 985/38, 546/88, 519/427 is

LCM of Numerators i.e. for 985,546,519 is 93041130

GCF of denominators i.e. for 38,88,427 is 1.

Thus, LCM of Fractions is 93041130.Finally, LCM of Fractions for 985/38, 546/88, 519/427 is 93041130.