Least Common Multiple of 86/385, 566/637, 905/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/385, 566/637, 905/752 quickly i.e. 22025890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/385, 566/637, 905/752 is 22025890.

LCM(86/385, 566/637, 905/752) = 22025890

LCM of 86/385, 566/637, 905/752

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 86/385,566/637,905/752

Given numbers are 86/385,566/637,905/752

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 86,566,905

Least Common Multiple of Numerators i.e. LCM of 86,566,905 is 22025890.

GCF of Denominators means GCF of 385,637,752 as per the given fractions.

GCF of 385,637,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,566,905

LCM of Fractions 86/385,566/637,905/752 is 22025890

2 86, 566, 905
43, 283, 905

∴ So the LCM of the given numbers is 2 x 43 x 283 x 905 = 22025890

Least Common Multiple of 86,566,905 with GCF Formula

Least Common Multiple of 86,566,905 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 86,566,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,566,905) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,566,905) x common factors =1 x 2 = 2

LCM(86,566,905) = ( 86 × 566 × 905 ) / 2

LCM(86,566,905) = 44051780 / 2

LCM(86,566,905) = 22025890


Lets's calculate GCF of 385,637,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22025890/1

Therefore the LCM of Fractions 86/385,566/637,905/752 is 22025890

Greatest Common Factor of 385,637,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,637,752 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 385,637,752 . The biggest common factor number is the GCF number.
So the greatest common factor 385,637,752 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 86/385, 566/637, 905/752

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 86/385, 566/637, 905/752?

Answer: LCM of Numerators as per given numbers 86/385, 566/637, 905/752 is

LCM of Numerators i.e. for 86,566,905 is 22025890

GCF of denominators i.e. for 385,637,752 is 1.

Thus, LCM of Fractions is 22025890.Finally, LCM of Fractions for 86/385, 566/637, 905/752 is 22025890.