Least Common Multiple of 409/514, 1948/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/514, 1948/650 quickly i.e. 398366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/514, 1948/650 is 398366.

LCM(409/514, 1948/650) = 398366

LCM of 409/514, 1948/650

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 409/514,1948/650

Given numbers are 409/514,1948/650

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 409,1948

Least Common Multiple of Numerators i.e. LCM of 409,1948 is 796732.

GCF of Denominators means GCF of 514,650 as per the given fractions.

GCF of 514,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,1948

LCM of Fractions 409/514,1948/650 is 398366

Given numbers has no common factors except 1. So, there LCM is their product i.e 796732

Least Common Multiple of 409,1948 with GCF Formula

Least Common Multiple of 409,1948 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 409,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,1948) = 1

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

GCF(409,1948) x common factors =1 x 1 = 1

LCM(409,1948) = ( 409 × 1948 ) / 1

LCM(409,1948) = 796732 / 1

LCM(409,1948) = 796732


Lets's calculate GCF of 514,650

2 514, 650
257, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796732/2

Therefore the LCM of Fractions 409/514,1948/650 is 398366

Greatest Common Factor of 514,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,650 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 514,650 . The biggest common factor number is the GCF number.
So the greatest common factor 514,650 is 2.


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 409/514, 1948/650

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 409/514, 1948/650?

Answer: LCM of Numerators as per given numbers 409/514, 1948/650 is

LCM of Numerators i.e. for 409,1948 is 796732

GCF of denominators i.e. for 514,650 is 2.

Thus, LCM of Fractions is 398366.Finally, LCM of Fractions for 409/514, 1948/650 is 398366.