Least Common Multiple of 936/827, 7890/6800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 936/827, 7890/6800 quickly i.e. 1230840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/827, 7890/6800 is 1230840.

LCM(936/827, 7890/6800) = 1230840

LCM of 936/827, 7890/6800

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 936/827,7890/6800

Given numbers are 936/827,7890/6800

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 936,7890

Least Common Multiple of Numerators i.e. LCM of 936,7890 is 1230840.

GCF of Denominators means GCF of 827,6800 as per the given fractions.

GCF of 827,6800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,7890

LCM of Fractions 936/827,7890/6800 is 1230840

2 936, 7890
3 468, 3945
156, 1315

∴ So the LCM of the given numbers is 2 x 3 x 156 x 1315 = 1230840

Least Common Multiple of 936,7890 with GCF Formula

Least Common Multiple of 936,7890 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 936,7890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,7890) = 6

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

GCF(936,7890) x common factors =6 x 1 = 6

LCM(936,7890) = ( 936 × 7890 ) / 6

LCM(936,7890) = 7385040 / 6

LCM(936,7890) = 1230840


Lets's calculate GCF of 827,6800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230840/1

Therefore the LCM of Fractions 936/827,7890/6800 is 1230840

Greatest Common Factor of 827,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,6800 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 827,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 827,6800 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 936/827, 7890/6800

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 936/827, 7890/6800?

Answer: LCM of Numerators as per given numbers 936/827, 7890/6800 is

LCM of Numerators i.e. for 936,7890 is 1230840

GCF of denominators i.e. for 827,6800 is 1.

Thus, LCM of Fractions is 1230840.Finally, LCM of Fractions for 936/827, 7890/6800 is 1230840.