Least Common Multiple of 250/350, 819/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/350, 819/364 quickly i.e. 14625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/350, 819/364 is 14625.

LCM(250/350, 819/364) = 14625

LCM of 250/350, 819/364

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 250/350,819/364

Given numbers are 250/350,819/364

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 250,819

Least Common Multiple of Numerators i.e. LCM of 250,819 is 204750.

GCF of Denominators means GCF of 350,364 as per the given fractions.

GCF of 350,364 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,819

LCM of Fractions 250/350,819/364 is 14625

Given numbers has no common factors except 1. So, there LCM is their product i.e 204750

Least Common Multiple of 250,819 with GCF Formula

Least Common Multiple of 250,819 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 250,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,819) = 1

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

GCF(250,819) x common factors =1 x 1 = 1

LCM(250,819) = ( 250 × 819 ) / 1

LCM(250,819) = 204750 / 1

LCM(250,819) = 204750


Lets's calculate GCF of 350,364

2 350, 364
7 175, 182
25, 26

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204750/14

Therefore the LCM of Fractions 250/350,819/364 is 14625

Greatest Common Factor of 350,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,364 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 350,364 . The biggest common factor number is the GCF number.
So the greatest common factor 350,364 is 14.


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 250/350, 819/364

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 250/350, 819/364?

Answer: LCM of Numerators as per given numbers 250/350, 819/364 is

LCM of Numerators i.e. for 250,819 is 204750

GCF of denominators i.e. for 350,364 is 14.

Thus, LCM of Fractions is 14625.Finally, LCM of Fractions for 250/350, 819/364 is 14625.