Least Common Multiple of 49/189, 18/584, 837/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/189, 18/584, 837/270 quickly i.e. 82026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/189, 18/584, 837/270 is 82026.

LCM(49/189, 18/584, 837/270) = 82026

LCM of 49/189, 18/584, 837/270

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 49/189,18/584,837/270

Given numbers are 49/189,18/584,837/270

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 49,18,837

Least Common Multiple of Numerators i.e. LCM of 49,18,837 is 82026.

GCF of Denominators means GCF of 189,584,270 as per the given fractions.

GCF of 189,584,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,18,837

LCM of Fractions 49/189,18/584,837/270 is 82026

3 49, 18, 837
3 49, 6, 279
49, 2, 93

∴ So the LCM of the given numbers is 3 x 3 x 49 x 2 x 93 = 82026

Least Common Multiple of 49,18,837 with GCF Formula

Least Common Multiple of 49,18,837 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 49,18,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,18,837) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(49,18,837) x common factors =1 x 9 = 9

LCM(49,18,837) = ( 49 × 18 × 837 ) / 9

LCM(49,18,837) = 738234 / 9

LCM(49,18,837) = 82026


Lets's calculate GCF of 189,584,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82026/1

Therefore the LCM of Fractions 49/189,18/584,837/270 is 82026

Greatest Common Factor of 189,584,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,584,270 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 189,584,270 . The biggest common factor number is the GCF number.
So the greatest common factor 189,584,270 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 49/189, 18/584, 837/270

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 49/189, 18/584, 837/270?

Answer: LCM of Numerators as per given numbers 49/189, 18/584, 837/270 is

LCM of Numerators i.e. for 49,18,837 is 82026

GCF of denominators i.e. for 189,584,270 is 1.

Thus, LCM of Fractions is 82026.Finally, LCM of Fractions for 49/189, 18/584, 837/270 is 82026.