Least Common Multiple of 450/48, 2471/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/48, 2471/402 quickly i.e. 185325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/48, 2471/402 is 185325.

LCM(450/48, 2471/402) = 185325

LCM of 450/48, 2471/402

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 450/48,2471/402

Given numbers are 450/48,2471/402

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 450,2471

Least Common Multiple of Numerators i.e. LCM of 450,2471 is 1111950.

GCF of Denominators means GCF of 48,402 as per the given fractions.

GCF of 48,402 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,2471

LCM of Fractions 450/48,2471/402 is 185325

Given numbers has no common factors except 1. So, there LCM is their product i.e 1111950

Least Common Multiple of 450,2471 with GCF Formula

Least Common Multiple of 450,2471 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 450,2471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,2471) = 1

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

GCF(450,2471) x common factors =1 x 1 = 1

LCM(450,2471) = ( 450 × 2471 ) / 1

LCM(450,2471) = 1111950 / 1

LCM(450,2471) = 1111950


Lets's calculate GCF of 48,402

2 48, 402
3 24, 201
8, 67

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1111950/6

Therefore the LCM of Fractions 450/48,2471/402 is 185325

Greatest Common Factor of 48,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,402 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 48,402 . The biggest common factor number is the GCF number.
So the greatest common factor 48,402 is 6.


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 450/48, 2471/402

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 450/48, 2471/402?

Answer: LCM of Numerators as per given numbers 450/48, 2471/402 is

LCM of Numerators i.e. for 450,2471 is 1111950

GCF of denominators i.e. for 48,402 is 6.

Thus, LCM of Fractions is 185325.Finally, LCM of Fractions for 450/48, 2471/402 is 185325.