Least Common Multiple of 86/364, 524/841, 929/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/364, 524/841, 929/814 quickly i.e. 20932228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/364, 524/841, 929/814 is 20932228.

LCM(86/364, 524/841, 929/814) = 20932228

LCM of 86/364, 524/841, 929/814

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 86/364,524/841,929/814

Given numbers are 86/364,524/841,929/814

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 86,524,929

Least Common Multiple of Numerators i.e. LCM of 86,524,929 is 20932228.

GCF of Denominators means GCF of 364,841,814 as per the given fractions.

GCF of 364,841,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,524,929

LCM of Fractions 86/364,524/841,929/814 is 20932228

2 86, 524, 929
43, 262, 929

∴ So the LCM of the given numbers is 2 x 43 x 262 x 929 = 20932228

Least Common Multiple of 86,524,929 with GCF Formula

Least Common Multiple of 86,524,929 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 86,524,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,524,929) = 1

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

GCF(86,524,929) x common factors =1 x 2 = 2

LCM(86,524,929) = ( 86 × 524 × 929 ) / 2

LCM(86,524,929) = 41864456 / 2

LCM(86,524,929) = 20932228


Lets's calculate GCF of 364,841,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20932228/1

Therefore the LCM of Fractions 86/364,524/841,929/814 is 20932228

Greatest Common Factor of 364,841,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,841,814 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 364,841,814 . The biggest common factor number is the GCF number.
So the greatest common factor 364,841,814 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 86/364, 524/841, 929/814

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 86/364, 524/841, 929/814?

Answer: LCM of Numerators as per given numbers 86/364, 524/841, 929/814 is

LCM of Numerators i.e. for 86,524,929 is 20932228

GCF of denominators i.e. for 364,841,814 is 1.

Thus, LCM of Fractions is 20932228.Finally, LCM of Fractions for 86/364, 524/841, 929/814 is 20932228.