Least Common Multiple of 35/181, 697/827, 545/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/181, 697/827, 545/345 quickly i.e. 2659055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/181, 697/827, 545/345 is 2659055.

LCM(35/181, 697/827, 545/345) = 2659055

LCM of 35/181, 697/827, 545/345

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 35/181,697/827,545/345

Given numbers are 35/181,697/827,545/345

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 35,697,545

Least Common Multiple of Numerators i.e. LCM of 35,697,545 is 2659055.

GCF of Denominators means GCF of 181,827,345 as per the given fractions.

GCF of 181,827,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,697,545

LCM of Fractions 35/181,697/827,545/345 is 2659055

5 35, 697, 545
7, 697, 109

∴ So the LCM of the given numbers is 5 x 7 x 697 x 109 = 2659055

Least Common Multiple of 35,697,545 with GCF Formula

Least Common Multiple of 35,697,545 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 35,697,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,697,545) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,697,545) x common factors =1 x 5 = 5

LCM(35,697,545) = ( 35 × 697 × 545 ) / 5

LCM(35,697,545) = 13295275 / 5

LCM(35,697,545) = 2659055


Lets's calculate GCF of 181,827,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2659055/1

Therefore the LCM of Fractions 35/181,697/827,545/345 is 2659055

Greatest Common Factor of 181,827,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,827,345 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 181,827,345 . The biggest common factor number is the GCF number.
So the greatest common factor 181,827,345 is 1.


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 35/181, 697/827, 545/345

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 35/181, 697/827, 545/345?

Answer: LCM of Numerators as per given numbers 35/181, 697/827, 545/345 is

LCM of Numerators i.e. for 35,697,545 is 2659055

GCF of denominators i.e. for 181,827,345 is 1.

Thus, LCM of Fractions is 2659055.Finally, LCM of Fractions for 35/181, 697/827, 545/345 is 2659055.