Least Common Multiple of 786/827, 818/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/827, 818/114 quickly i.e. 321474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/827, 818/114 is 321474.

LCM(786/827, 818/114) = 321474

LCM of 786/827, 818/114

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 786/827,818/114

Given numbers are 786/827,818/114

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 786,818

Least Common Multiple of Numerators i.e. LCM of 786,818 is 321474.

GCF of Denominators means GCF of 827,114 as per the given fractions.

GCF of 827,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,818

LCM of Fractions 786/827,818/114 is 321474

2 786, 818
393, 409

∴ So the LCM of the given numbers is 2 x 393 x 409 = 321474

Least Common Multiple of 786,818 with GCF Formula

Least Common Multiple of 786,818 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 786,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,818) = 2

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

GCF(786,818) x common factors =2 x 1 = 2

LCM(786,818) = ( 786 × 818 ) / 2

LCM(786,818) = 642948 / 2

LCM(786,818) = 321474


Lets's calculate GCF of 827,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321474/1

Therefore the LCM of Fractions 786/827,818/114 is 321474

Greatest Common Factor of 827,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,114 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 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 827,114 . The biggest common factor number is the GCF number.
So the greatest common factor 827,114 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 786/827, 818/114

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 786/827, 818/114?

Answer: LCM of Numerators as per given numbers 786/827, 818/114 is

LCM of Numerators i.e. for 786,818 is 321474

GCF of denominators i.e. for 827,114 is 1.

Thus, LCM of Fractions is 321474.Finally, LCM of Fractions for 786/827, 818/114 is 321474.