Least Common Multiple of 106/47, 148/55, 450/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/47, 148/55, 450/303 quickly i.e. 1764900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/47, 148/55, 450/303 is 1764900.

LCM(106/47, 148/55, 450/303) = 1764900

LCM of 106/47, 148/55, 450/303

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 106/47,148/55,450/303

Given numbers are 106/47,148/55,450/303

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 106,148,450

Least Common Multiple of Numerators i.e. LCM of 106,148,450 is 1764900.

GCF of Denominators means GCF of 47,55,303 as per the given fractions.

GCF of 47,55,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,148,450

LCM of Fractions 106/47,148/55,450/303 is 1764900

2 106, 148, 450
53, 74, 225

∴ So the LCM of the given numbers is 2 x 53 x 74 x 225 = 1764900

Least Common Multiple of 106,148,450 with GCF Formula

Least Common Multiple of 106,148,450 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 106,148,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,148,450) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(106,148,450) x common factors =2 x 2 = 4

LCM(106,148,450) = ( 106 × 148 × 450 ) / 4

LCM(106,148,450) = 7059600 / 4

LCM(106,148,450) = 1764900


Lets's calculate GCF of 47,55,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1764900/1

Therefore the LCM of Fractions 106/47,148/55,450/303 is 1764900

Greatest Common Factor of 47,55,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,55,303 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 47,55,303 . The biggest common factor number is the GCF number.
So the greatest common factor 47,55,303 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 106/47, 148/55, 450/303

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 106/47, 148/55, 450/303?

Answer: LCM of Numerators as per given numbers 106/47, 148/55, 450/303 is

LCM of Numerators i.e. for 106,148,450 is 1764900

GCF of denominators i.e. for 47,55,303 is 1.

Thus, LCM of Fractions is 1764900.Finally, LCM of Fractions for 106/47, 148/55, 450/303 is 1764900.