Least Common Multiple of 86/624, 42/527, 526/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/624, 42/527, 526/877 quickly i.e. 474978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/624, 42/527, 526/877 is 474978.

LCM(86/624, 42/527, 526/877) = 474978

LCM of 86/624, 42/527, 526/877

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 86/624,42/527,526/877

Given numbers are 86/624,42/527,526/877

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 86,42,526

Least Common Multiple of Numerators i.e. LCM of 86,42,526 is 474978.

GCF of Denominators means GCF of 624,527,877 as per the given fractions.

GCF of 624,527,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,42,526

LCM of Fractions 86/624,42/527,526/877 is 474978

2 86, 42, 526
43, 21, 263

∴ So the LCM of the given numbers is 2 x 43 x 21 x 263 = 474978

Least Common Multiple of 86,42,526 with GCF Formula

Least Common Multiple of 86,42,526 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 86,42,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,42,526) = 2

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

GCF(86,42,526) x common factors =2 x 2 = 4

LCM(86,42,526) = ( 86 × 42 × 526 ) / 4

LCM(86,42,526) = 1899912 / 4

LCM(86,42,526) = 474978


Lets's calculate GCF of 624,527,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474978/1

Therefore the LCM of Fractions 86/624,42/527,526/877 is 474978

Greatest Common Factor of 624,527,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,527,877 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 624,527,877 . The biggest common factor number is the GCF number.
So the greatest common factor 624,527,877 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 86/624, 42/527, 526/877

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 86/624, 42/527, 526/877?

Answer: LCM of Numerators as per given numbers 86/624, 42/527, 526/877 is

LCM of Numerators i.e. for 86,42,526 is 474978

GCF of denominators i.e. for 624,527,877 is 1.

Thus, LCM of Fractions is 474978.Finally, LCM of Fractions for 86/624, 42/527, 526/877 is 474978.