Least Common Multiple of 86/672, 10/164, 482/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/672, 10/164, 482/905 quickly i.e. 103630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/672, 10/164, 482/905 is 103630.

LCM(86/672, 10/164, 482/905) = 103630

LCM of 86/672, 10/164, 482/905

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 86/672,10/164,482/905

Given numbers are 86/672,10/164,482/905

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 86,10,482

Least Common Multiple of Numerators i.e. LCM of 86,10,482 is 103630.

GCF of Denominators means GCF of 672,164,905 as per the given fractions.

GCF of 672,164,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,10,482

LCM of Fractions 86/672,10/164,482/905 is 103630

2 86, 10, 482
43, 5, 241

∴ So the LCM of the given numbers is 2 x 43 x 5 x 241 = 103630

Least Common Multiple of 86,10,482 with GCF Formula

Least Common Multiple of 86,10,482 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 86,10,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,10,482) = 2

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

GCF(86,10,482) x common factors =2 x 2 = 4

LCM(86,10,482) = ( 86 × 10 × 482 ) / 4

LCM(86,10,482) = 414520 / 4

LCM(86,10,482) = 103630


Lets's calculate GCF of 672,164,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103630/1

Therefore the LCM of Fractions 86/672,10/164,482/905 is 103630

Greatest Common Factor of 672,164,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,164,905 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 905

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

1,5,181,905

Greatest Common Factor

We found the factors 672,164,905 . The biggest common factor number is the GCF number.
So the greatest common factor 672,164,905 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/672, 10/164, 482/905

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 86/672, 10/164, 482/905?

Answer: LCM of Numerators as per given numbers 86/672, 10/164, 482/905 is

LCM of Numerators i.e. for 86,10,482 is 103630

GCF of denominators i.e. for 672,164,905 is 1.

Thus, LCM of Fractions is 103630.Finally, LCM of Fractions for 86/672, 10/164, 482/905 is 103630.