Least Common Multiple of 863/40, 778/1245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 863/40, 778/1245 quickly i.e. 671414/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/40, 778/1245 is 671414/5.

LCM(863/40, 778/1245) = 671414/5

LCM of 863/40, 778/1245

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 863/40,778/1245

Given numbers are 863/40,778/1245

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 863,778

Least Common Multiple of Numerators i.e. LCM of 863,778 is 671414.

GCF of Denominators means GCF of 40,1245 as per the given fractions.

GCF of 40,1245 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,778

LCM of Fractions 863/40,778/1245 is 671414/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 671414

Least Common Multiple of 863,778 with GCF Formula

Least Common Multiple of 863,778 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 863,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,778) = 1

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

GCF(863,778) x common factors =1 x 1 = 1

LCM(863,778) = ( 863 × 778 ) / 1

LCM(863,778) = 671414 / 1

LCM(863,778) = 671414


Lets's calculate GCF of 40,1245

5 40, 1245
8, 249

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 671414/5

Therefore the LCM of Fractions 863/40,778/1245 is 671414/5

Greatest Common Factor of 40,1245 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,1245 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors 40,1245 . The biggest common factor number is the GCF number.
So the greatest common factor 40,1245 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 863/40, 778/1245

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 863/40, 778/1245?

Answer: LCM of Numerators as per given numbers 863/40, 778/1245 is

LCM of Numerators i.e. for 863,778 is 671414

GCF of denominators i.e. for 40,1245 is 5.

Thus, LCM of Fractions is 671414/5.Finally, LCM of Fractions for 863/40, 778/1245 is 671414/5.