Least Common Multiple of 1027/85, 3549/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1027/85, 3549/990 quickly i.e. 280371/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1027/85, 3549/990 is 280371/5.

LCM(1027/85, 3549/990) = 280371/5

LCM of 1027/85, 3549/990

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 1027/85,3549/990

Given numbers are 1027/85,3549/990

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 1027,3549

Least Common Multiple of Numerators i.e. LCM of 1027,3549 is 280371.

GCF of Denominators means GCF of 85,990 as per the given fractions.

GCF of 85,990 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1027,3549

LCM of Fractions 1027/85,3549/990 is 280371/5

13 1027, 3549
79, 273

∴ So the LCM of the given numbers is 13 x 79 x 273 = 280371

Least Common Multiple of 1027,3549 with GCF Formula

Least Common Multiple of 1027,3549 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 1027,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1027,3549) = 13

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

GCF(1027,3549) x common factors =13 x 1 = 13

LCM(1027,3549) = ( 1027 × 3549 ) / 13

LCM(1027,3549) = 3644823 / 13

LCM(1027,3549) = 280371


Lets's calculate GCF of 85,990

5 85, 990
17, 198

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280371/5

Therefore the LCM of Fractions 1027/85,3549/990 is 280371/5

Greatest Common Factor of 85,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,990 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 85,990 . The biggest common factor number is the GCF number.
So the greatest common factor 85,990 is 5.


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 1027/85, 3549/990

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 1027/85, 3549/990?

Answer: LCM of Numerators as per given numbers 1027/85, 3549/990 is

LCM of Numerators i.e. for 1027,3549 is 280371

GCF of denominators i.e. for 85,990 is 5.

Thus, LCM of Fractions is 280371/5.Finally, LCM of Fractions for 1027/85, 3549/990 is 280371/5.