Least Common Multiple of 86/311, 37/853, 503/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/311, 37/853, 503/668 quickly i.e. 1600546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/311, 37/853, 503/668 is 1600546.

LCM(86/311, 37/853, 503/668) = 1600546

LCM of 86/311, 37/853, 503/668

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 86/311,37/853,503/668

Given numbers are 86/311,37/853,503/668

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 86,37,503

Least Common Multiple of Numerators i.e. LCM of 86,37,503 is 1600546.

GCF of Denominators means GCF of 311,853,668 as per the given fractions.

GCF of 311,853,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,37,503

LCM of Fractions 86/311,37/853,503/668 is 1600546

Given numbers has no common factors except 1. So, there LCM is their product i.e 1600546

Least Common Multiple of 86,37,503 with GCF Formula

Least Common Multiple of 86,37,503 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 86,37,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,37,503) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(86,37,503) x common factors =1 x 1 = 1

LCM(86,37,503) = ( 86 × 37 × 503 ) / 1

LCM(86,37,503) = 1600546 / 1

LCM(86,37,503) = 1600546


Lets's calculate GCF of 311,853,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1600546/1

Therefore the LCM of Fractions 86/311,37/853,503/668 is 1600546

Greatest Common Factor of 311,853,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,853,668 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 311,853,668 . The biggest common factor number is the GCF number.
So the greatest common factor 311,853,668 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/311, 37/853, 503/668

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 86/311, 37/853, 503/668?

Answer: LCM of Numerators as per given numbers 86/311, 37/853, 503/668 is

LCM of Numerators i.e. for 86,37,503 is 1600546

GCF of denominators i.e. for 311,853,668 is 1.

Thus, LCM of Fractions is 1600546.Finally, LCM of Fractions for 86/311, 37/853, 503/668 is 1600546.