Least Common Multiple of 736/95, 124/97, 783/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/95, 124/97, 783/64 quickly i.e. 17864928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/95, 124/97, 783/64 is 17864928.

LCM(736/95, 124/97, 783/64) = 17864928

LCM of 736/95, 124/97, 783/64

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 736/95,124/97,783/64

Given numbers are 736/95,124/97,783/64

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 736,124,783

Least Common Multiple of Numerators i.e. LCM of 736,124,783 is 17864928.

GCF of Denominators means GCF of 95,97,64 as per the given fractions.

GCF of 95,97,64 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,124,783

LCM of Fractions 736/95,124/97,783/64 is 17864928

2 736, 124, 783
2 368, 62, 783
184, 31, 783

∴ So the LCM of the given numbers is 2 x 2 x 184 x 31 x 783 = 17864928

Least Common Multiple of 736,124,783 with GCF Formula

Least Common Multiple of 736,124,783 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 736,124,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,124,783) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(736,124,783) x common factors =1 x 4 = 4

LCM(736,124,783) = ( 736 × 124 × 783 ) / 4

LCM(736,124,783) = 71459712 / 4

LCM(736,124,783) = 17864928


Lets's calculate GCF of 95,97,64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17864928/1

Therefore the LCM of Fractions 736/95,124/97,783/64 is 17864928

Greatest Common Factor of 95,97,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,97,64 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 95,97,64 . The biggest common factor number is the GCF number.
So the greatest common factor 95,97,64 is 1.


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Frequently Asked Questions on Fractional LCM of 736/95, 124/97, 783/64

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 736/95, 124/97, 783/64?

Answer: LCM of Numerators as per given numbers 736/95, 124/97, 783/64 is

LCM of Numerators i.e. for 736,124,783 is 17864928

GCF of denominators i.e. for 95,97,64 is 1.

Thus, LCM of Fractions is 17864928.Finally, LCM of Fractions for 736/95, 124/97, 783/64 is 17864928.