Least Common Multiple of 1229/803, 1855/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1229/803, 1855/214 quickly i.e. 2279795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1229/803, 1855/214 is 2279795.

LCM(1229/803, 1855/214) = 2279795

LCM of 1229/803, 1855/214

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 1229/803,1855/214

Given numbers are 1229/803,1855/214

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 1229,1855

Least Common Multiple of Numerators i.e. LCM of 1229,1855 is 2279795.

GCF of Denominators means GCF of 803,214 as per the given fractions.

GCF of 803,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1229,1855

LCM of Fractions 1229/803,1855/214 is 2279795

Given numbers has no common factors except 1. So, there LCM is their product i.e 2279795

Least Common Multiple of 1229,1855 with GCF Formula

Least Common Multiple of 1229,1855 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 1229,1855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1229,1855) = 1

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

GCF(1229,1855) x common factors =1 x 1 = 1

LCM(1229,1855) = ( 1229 × 1855 ) / 1

LCM(1229,1855) = 2279795 / 1

LCM(1229,1855) = 2279795


Lets's calculate GCF of 803,214

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2279795/1

Therefore the LCM of Fractions 1229/803,1855/214 is 2279795

Greatest Common Factor of 803,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,214 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 803,214 . The biggest common factor number is the GCF number.
So the greatest common factor 803,214 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1229/803, 1855/214

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 1229/803, 1855/214?

Answer: LCM of Numerators as per given numbers 1229/803, 1855/214 is

LCM of Numerators i.e. for 1229,1855 is 2279795

GCF of denominators i.e. for 803,214 is 1.

Thus, LCM of Fractions is 2279795.Finally, LCM of Fractions for 1229/803, 1855/214 is 2279795.