Least Common Multiple of 30/450, 503/931, 343/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/450, 503/931, 343/267 quickly i.e. 5175870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/450, 503/931, 343/267 is 5175870.

LCM(30/450, 503/931, 343/267) = 5175870

LCM of 30/450, 503/931, 343/267

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 30/450,503/931,343/267

Given numbers are 30/450,503/931,343/267

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 30,503,343

Least Common Multiple of Numerators i.e. LCM of 30,503,343 is 5175870.

GCF of Denominators means GCF of 450,931,267 as per the given fractions.

GCF of 450,931,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,503,343

LCM of Fractions 30/450,503/931,343/267 is 5175870

Given numbers has no common factors except 1. So, there LCM is their product i.e 5175870

Least Common Multiple of 30,503,343 with GCF Formula

Least Common Multiple of 30,503,343 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 30,503,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,503,343) = 1

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

GCF(30,503,343) x common factors =1 x 1 = 1

LCM(30,503,343) = ( 30 × 503 × 343 ) / 1

LCM(30,503,343) = 5175870 / 1

LCM(30,503,343) = 5175870


Lets's calculate GCF of 450,931,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5175870/1

Therefore the LCM of Fractions 30/450,503/931,343/267 is 5175870

Greatest Common Factor of 450,931,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,931,267 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 450,931,267 . The biggest common factor number is the GCF number.
So the greatest common factor 450,931,267 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 30/450, 503/931, 343/267

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 30/450, 503/931, 343/267?

Answer: LCM of Numerators as per given numbers 30/450, 503/931, 343/267 is

LCM of Numerators i.e. for 30,503,343 is 5175870

GCF of denominators i.e. for 450,931,267 is 1.

Thus, LCM of Fractions is 5175870.Finally, LCM of Fractions for 30/450, 503/931, 343/267 is 5175870.