Least Common Multiple of 930/37, 246/17, 149/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/37, 246/17, 149/534 quickly i.e. 5681370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/37, 246/17, 149/534 is 5681370.

LCM(930/37, 246/17, 149/534) = 5681370

LCM of 930/37, 246/17, 149/534

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 930/37,246/17,149/534

Given numbers are 930/37,246/17,149/534

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 930,246,149

Least Common Multiple of Numerators i.e. LCM of 930,246,149 is 5681370.

GCF of Denominators means GCF of 37,17,534 as per the given fractions.

GCF of 37,17,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,246,149

LCM of Fractions 930/37,246/17,149/534 is 5681370

2 930, 246, 149
3 465, 123, 149
155, 41, 149

∴ So the LCM of the given numbers is 2 x 3 x 155 x 41 x 149 = 5681370

Least Common Multiple of 930,246,149 with GCF Formula

Least Common Multiple of 930,246,149 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 930,246,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,246,149) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(930,246,149) x common factors =1 x 6 = 6

LCM(930,246,149) = ( 930 × 246 × 149 ) / 6

LCM(930,246,149) = 34088220 / 6

LCM(930,246,149) = 5681370


Lets's calculate GCF of 37,17,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5681370/1

Therefore the LCM of Fractions 930/37,246/17,149/534 is 5681370

Greatest Common Factor of 37,17,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,17,534 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 37,17,534 . The biggest common factor number is the GCF number.
So the greatest common factor 37,17,534 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 930/37, 246/17, 149/534

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 930/37, 246/17, 149/534?

Answer: LCM of Numerators as per given numbers 930/37, 246/17, 149/534 is

LCM of Numerators i.e. for 930,246,149 is 5681370

GCF of denominators i.e. for 37,17,534 is 1.

Thus, LCM of Fractions is 5681370.Finally, LCM of Fractions for 930/37, 246/17, 149/534 is 5681370.