Least Common Multiple of 845/182, 819/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 845/182, 819/700 quickly i.e. 53235/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/182, 819/700 is 53235/14.

LCM(845/182, 819/700) = 53235/14

LCM of 845/182, 819/700

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 845/182,819/700

Given numbers are 845/182,819/700

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 845,819

Least Common Multiple of Numerators i.e. LCM of 845,819 is 53235.

GCF of Denominators means GCF of 182,700 as per the given fractions.

GCF of 182,700 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,819

LCM of Fractions 845/182,819/700 is 53235/14

13 845, 819
65, 63

∴ So the LCM of the given numbers is 13 x 65 x 63 = 53235

Least Common Multiple of 845,819 with GCF Formula

Least Common Multiple of 845,819 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 845,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,819) = 13

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

GCF(845,819) x common factors =13 x 1 = 13

LCM(845,819) = ( 845 × 819 ) / 13

LCM(845,819) = 692055 / 13

LCM(845,819) = 53235


Lets's calculate GCF of 182,700

2 182, 700
7 91, 350
13, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53235/14

Therefore the LCM of Fractions 845/182,819/700 is 53235/14

Greatest Common Factor of 182,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,700 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 182,700 . The biggest common factor number is the GCF number.
So the greatest common factor 182,700 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 845/182, 819/700

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 845/182, 819/700?

Answer: LCM of Numerators as per given numbers 845/182, 819/700 is

LCM of Numerators i.e. for 845,819 is 53235

GCF of denominators i.e. for 182,700 is 14.

Thus, LCM of Fractions is 53235/14.Finally, LCM of Fractions for 845/182, 819/700 is 53235/14.