Least Common Multiple of 545/774, 387/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 545/774, 387/536 quickly i.e. 210915/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/774, 387/536 is 210915/2.

LCM(545/774, 387/536) = 210915/2

LCM of 545/774, 387/536

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 545/774,387/536

Given numbers are 545/774,387/536

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 545,387

Least Common Multiple of Numerators i.e. LCM of 545,387 is 210915.

GCF of Denominators means GCF of 774,536 as per the given fractions.

GCF of 774,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,387

LCM of Fractions 545/774,387/536 is 210915/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 210915

Least Common Multiple of 545,387 with GCF Formula

Least Common Multiple of 545,387 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 545,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,387) = 1

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

GCF(545,387) x common factors =1 x 1 = 1

LCM(545,387) = ( 545 × 387 ) / 1

LCM(545,387) = 210915 / 1

LCM(545,387) = 210915


Lets's calculate GCF of 774,536

2 774, 536
387, 268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210915/2

Therefore the LCM of Fractions 545/774,387/536 is 210915/2

Greatest Common Factor of 774,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,536 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 774,536 . The biggest common factor number is the GCF number.
So the greatest common factor 774,536 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 545/774, 387/536

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 545/774, 387/536?

Answer: LCM of Numerators as per given numbers 545/774, 387/536 is

LCM of Numerators i.e. for 545,387 is 210915

GCF of denominators i.e. for 774,536 is 2.

Thus, LCM of Fractions is 210915/2.Finally, LCM of Fractions for 545/774, 387/536 is 210915/2.