Least Common Multiple of 1409/28, 1234/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1409/28, 1234/254 quickly i.e. 869353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1409/28, 1234/254 is 869353.

LCM(1409/28, 1234/254) = 869353

LCM of 1409/28, 1234/254

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 1409/28,1234/254

Given numbers are 1409/28,1234/254

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 1409,1234

Least Common Multiple of Numerators i.e. LCM of 1409,1234 is 1738706.

GCF of Denominators means GCF of 28,254 as per the given fractions.

GCF of 28,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1409,1234

LCM of Fractions 1409/28,1234/254 is 869353

Given numbers has no common factors except 1. So, there LCM is their product i.e 1738706

Least Common Multiple of 1409,1234 with GCF Formula

Least Common Multiple of 1409,1234 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 1409,1234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1409,1234) = 1

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

GCF(1409,1234) x common factors =1 x 1 = 1

LCM(1409,1234) = ( 1409 × 1234 ) / 1

LCM(1409,1234) = 1738706 / 1

LCM(1409,1234) = 1738706


Lets's calculate GCF of 28,254

2 28, 254
14, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1738706/2

Therefore the LCM of Fractions 1409/28,1234/254 is 869353

Greatest Common Factor of 28,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,254 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 28,254 . The biggest common factor number is the GCF number.
So the greatest common factor 28,254 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 1409/28, 1234/254

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 1409/28, 1234/254?

Answer: LCM of Numerators as per given numbers 1409/28, 1234/254 is

LCM of Numerators i.e. for 1409,1234 is 1738706

GCF of denominators i.e. for 28,254 is 2.

Thus, LCM of Fractions is 869353.Finally, LCM of Fractions for 1409/28, 1234/254 is 869353.