Least Common Multiple of 450/115, 4026/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/115, 4026/428 quickly i.e. 301950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/115, 4026/428 is 301950.

LCM(450/115, 4026/428) = 301950

LCM of 450/115, 4026/428

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 450/115,4026/428

Given numbers are 450/115,4026/428

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 450,4026

Least Common Multiple of Numerators i.e. LCM of 450,4026 is 301950.

GCF of Denominators means GCF of 115,428 as per the given fractions.

GCF of 115,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,4026

LCM of Fractions 450/115,4026/428 is 301950

2 450, 4026
3 225, 2013
75, 671

∴ So the LCM of the given numbers is 2 x 3 x 75 x 671 = 301950

Least Common Multiple of 450,4026 with GCF Formula

Least Common Multiple of 450,4026 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 450,4026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,4026) = 6

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

GCF(450,4026) x common factors =6 x 1 = 6

LCM(450,4026) = ( 450 × 4026 ) / 6

LCM(450,4026) = 1811700 / 6

LCM(450,4026) = 301950


Lets's calculate GCF of 115,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301950/1

Therefore the LCM of Fractions 450/115,4026/428 is 301950

Greatest Common Factor of 115,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,428 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 115,428 . The biggest common factor number is the GCF number.
So the greatest common factor 115,428 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 450/115, 4026/428

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 450/115, 4026/428?

Answer: LCM of Numerators as per given numbers 450/115, 4026/428 is

LCM of Numerators i.e. for 450,4026 is 301950

GCF of denominators i.e. for 115,428 is 1.

Thus, LCM of Fractions is 301950.Finally, LCM of Fractions for 450/115, 4026/428 is 301950.