Least Common Multiple of 100/814, 3269/3025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/814, 3269/3025 quickly i.e. 326900/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/814, 3269/3025 is 326900/11.

LCM(100/814, 3269/3025) = 326900/11

LCM of 100/814, 3269/3025

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 100/814,3269/3025

Given numbers are 100/814,3269/3025

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 100,3269

Least Common Multiple of Numerators i.e. LCM of 100,3269 is 326900.

GCF of Denominators means GCF of 814,3025 as per the given fractions.

GCF of 814,3025 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,3269

LCM of Fractions 100/814,3269/3025 is 326900/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 326900

Least Common Multiple of 100,3269 with GCF Formula

Least Common Multiple of 100,3269 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 100,3269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,3269) = 1

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

GCF(100,3269) x common factors =1 x 1 = 1

LCM(100,3269) = ( 100 × 3269 ) / 1

LCM(100,3269) = 326900 / 1

LCM(100,3269) = 326900


Lets's calculate GCF of 814,3025

11 814, 3025
74, 275

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326900/11

Therefore the LCM of Fractions 100/814,3269/3025 is 326900/11

Greatest Common Factor of 814,3025 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,3025 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors 814,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 814,3025 is 11.


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 100/814, 3269/3025

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 100/814, 3269/3025?

Answer: LCM of Numerators as per given numbers 100/814, 3269/3025 is

LCM of Numerators i.e. for 100,3269 is 326900

GCF of denominators i.e. for 814,3025 is 11.

Thus, LCM of Fractions is 326900/11.Finally, LCM of Fractions for 100/814, 3269/3025 is 326900/11.