Least Common Multiple of 773/28, 7555/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 773/28, 7555/564 quickly i.e. 5840015/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 773/28, 7555/564 is 5840015/4.

LCM(773/28, 7555/564) = 5840015/4

LCM of 773/28, 7555/564

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 773/28,7555/564

Given numbers are 773/28,7555/564

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 773,7555

Least Common Multiple of Numerators i.e. LCM of 773,7555 is 5840015.

GCF of Denominators means GCF of 28,564 as per the given fractions.

GCF of 28,564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 773,7555

LCM of Fractions 773/28,7555/564 is 5840015/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5840015

Least Common Multiple of 773,7555 with GCF Formula

Least Common Multiple of 773,7555 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 773,7555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,7555) = 1

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

GCF(773,7555) x common factors =1 x 1 = 1

LCM(773,7555) = ( 773 × 7555 ) / 1

LCM(773,7555) = 5840015 / 1

LCM(773,7555) = 5840015


Lets's calculate GCF of 28,564

2 28, 564
2 14, 282
7, 141

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5840015/4

Therefore the LCM of Fractions 773/28,7555/564 is 5840015/4

Greatest Common Factor of 28,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,564 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 28,564 . The biggest common factor number is the GCF number.
So the greatest common factor 28,564 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 773/28, 7555/564

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 773/28, 7555/564?

Answer: LCM of Numerators as per given numbers 773/28, 7555/564 is

LCM of Numerators i.e. for 773,7555 is 5840015

GCF of denominators i.e. for 28,564 is 4.

Thus, LCM of Fractions is 5840015/4.Finally, LCM of Fractions for 773/28, 7555/564 is 5840015/4.