Least Common Multiple of 83/649, 265/905, 875/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/649, 265/905, 875/601 quickly i.e. 3849125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/649, 265/905, 875/601 is 3849125.

LCM(83/649, 265/905, 875/601) = 3849125

LCM of 83/649, 265/905, 875/601

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 83/649,265/905,875/601

Given numbers are 83/649,265/905,875/601

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 83,265,875

Least Common Multiple of Numerators i.e. LCM of 83,265,875 is 3849125.

GCF of Denominators means GCF of 649,905,601 as per the given fractions.

GCF of 649,905,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,265,875

LCM of Fractions 83/649,265/905,875/601 is 3849125

5 83, 265, 875
83, 53, 175

∴ So the LCM of the given numbers is 5 x 83 x 53 x 175 = 3849125

Least Common Multiple of 83,265,875 with GCF Formula

Least Common Multiple of 83,265,875 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 83,265,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,265,875) = 1

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

GCF(83,265,875) x common factors =1 x 5 = 5

LCM(83,265,875) = ( 83 × 265 × 875 ) / 5

LCM(83,265,875) = 19245625 / 5

LCM(83,265,875) = 3849125


Lets's calculate GCF of 649,905,601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3849125/1

Therefore the LCM of Fractions 83/649,265/905,875/601 is 3849125

Greatest Common Factor of 649,905,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,905,601 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 649,905,601 . The biggest common factor number is the GCF number.
So the greatest common factor 649,905,601 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 83/649, 265/905, 875/601

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 83/649, 265/905, 875/601?

Answer: LCM of Numerators as per given numbers 83/649, 265/905, 875/601 is

LCM of Numerators i.e. for 83,265,875 is 3849125

GCF of denominators i.e. for 649,905,601 is 1.

Thus, LCM of Fractions is 3849125.Finally, LCM of Fractions for 83/649, 265/905, 875/601 is 3849125.