Least Common Multiple of 50/465, 7298/1434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/465, 7298/1434 quickly i.e. 182450/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/465, 7298/1434 is 182450/3.

LCM(50/465, 7298/1434) = 182450/3

LCM of 50/465, 7298/1434

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 50/465,7298/1434

Given numbers are 50/465,7298/1434

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 50,7298

Least Common Multiple of Numerators i.e. LCM of 50,7298 is 182450.

GCF of Denominators means GCF of 465,1434 as per the given fractions.

GCF of 465,1434 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,7298

LCM of Fractions 50/465,7298/1434 is 182450/3

2 50, 7298
25, 3649

∴ So the LCM of the given numbers is 2 x 25 x 3649 = 182450

Least Common Multiple of 50,7298 with GCF Formula

Least Common Multiple of 50,7298 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 50,7298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,7298) = 2

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

GCF(50,7298) x common factors =2 x 1 = 2

LCM(50,7298) = ( 50 × 7298 ) / 2

LCM(50,7298) = 364900 / 2

LCM(50,7298) = 182450


Lets's calculate GCF of 465,1434

3 465, 1434
155, 478

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182450/3

Therefore the LCM of Fractions 50/465,7298/1434 is 182450/3

Greatest Common Factor of 465,1434 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,1434 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1,2,3,6,239,478,717,1434

Greatest Common Factor

We found the factors 465,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 465,1434 is 3.


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 50/465, 7298/1434

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 50/465, 7298/1434?

Answer: LCM of Numerators as per given numbers 50/465, 7298/1434 is

LCM of Numerators i.e. for 50,7298 is 182450

GCF of denominators i.e. for 465,1434 is 3.

Thus, LCM of Fractions is 182450/3.Finally, LCM of Fractions for 50/465, 7298/1434 is 182450/3.