Least Common Multiple of 64/775, 1707/2031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/775, 1707/2031 quickly i.e. 109248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/775, 1707/2031 is 109248.

LCM(64/775, 1707/2031) = 109248

LCM of 64/775, 1707/2031

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 64/775,1707/2031

Given numbers are 64/775,1707/2031

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 64,1707

Least Common Multiple of Numerators i.e. LCM of 64,1707 is 109248.

GCF of Denominators means GCF of 775,2031 as per the given fractions.

GCF of 775,2031 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,1707

LCM of Fractions 64/775,1707/2031 is 109248

Given numbers has no common factors except 1. So, there LCM is their product i.e 109248

Least Common Multiple of 64,1707 with GCF Formula

Least Common Multiple of 64,1707 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 64,1707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,1707) = 1

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

GCF(64,1707) x common factors =1 x 1 = 1

LCM(64,1707) = ( 64 × 1707 ) / 1

LCM(64,1707) = 109248 / 1

LCM(64,1707) = 109248


Lets's calculate GCF of 775,2031

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109248/1

Therefore the LCM of Fractions 64/775,1707/2031 is 109248

Greatest Common Factor of 775,2031 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,2031 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1,3,677,2031

Greatest Common Factor

We found the factors 775,2031 . The biggest common factor number is the GCF number.
So the greatest common factor 775,2031 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/775, 1707/2031

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 64/775, 1707/2031?

Answer: LCM of Numerators as per given numbers 64/775, 1707/2031 is

LCM of Numerators i.e. for 64,1707 is 109248

GCF of denominators i.e. for 775,2031 is 1.

Thus, LCM of Fractions is 109248.Finally, LCM of Fractions for 64/775, 1707/2031 is 109248.