Least Common Multiple of 30/148, 74/106, 318/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/148, 74/106, 318/104 quickly i.e. 29415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/148, 74/106, 318/104 is 29415.

LCM(30/148, 74/106, 318/104) = 29415

LCM of 30/148, 74/106, 318/104

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 30/148,74/106,318/104

Given numbers are 30/148,74/106,318/104

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 30,74,318

Least Common Multiple of Numerators i.e. LCM of 30,74,318 is 58830.

GCF of Denominators means GCF of 148,106,104 as per the given fractions.

GCF of 148,106,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,74,318

LCM of Fractions 30/148,74/106,318/104 is 29415

2 30, 74, 318
3 15, 37, 159
5, 37, 53

∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 53 = 58830

Least Common Multiple of 30,74,318 with GCF Formula

Least Common Multiple of 30,74,318 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 30,74,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,74,318) = 2

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

GCF(30,74,318) x common factors =2 x 6 = 12

LCM(30,74,318) = ( 30 × 74 × 318 ) / 12

LCM(30,74,318) = 705960 / 12

LCM(30,74,318) = 58830


Lets's calculate GCF of 148,106,104

2 148, 106, 104
74, 53, 52

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58830/2

Therefore the LCM of Fractions 30/148,74/106,318/104 is 29415

Greatest Common Factor of 148,106,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,106,104 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 148,106,104 . The biggest common factor number is the GCF number.
So the greatest common factor 148,106,104 is 2.


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 30/148, 74/106, 318/104

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 30/148, 74/106, 318/104?

Answer: LCM of Numerators as per given numbers 30/148, 74/106, 318/104 is

LCM of Numerators i.e. for 30,74,318 is 58830

GCF of denominators i.e. for 148,106,104 is 2.

Thus, LCM of Fractions is 29415.Finally, LCM of Fractions for 30/148, 74/106, 318/104 is 29415.