Least Common Multiple of 6307/812, 5818/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6307/812, 5818/894 quickly i.e. 18347063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6307/812, 5818/894 is 18347063.

LCM(6307/812, 5818/894) = 18347063

LCM of 6307/812, 5818/894

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 6307/812,5818/894

Given numbers are 6307/812,5818/894

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 6307,5818

Least Common Multiple of Numerators i.e. LCM of 6307,5818 is 36694126.

GCF of Denominators means GCF of 812,894 as per the given fractions.

GCF of 812,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6307,5818

LCM of Fractions 6307/812,5818/894 is 18347063

Given numbers has no common factors except 1. So, there LCM is their product i.e 36694126

Least Common Multiple of 6307,5818 with GCF Formula

Least Common Multiple of 6307,5818 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 6307,5818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6307,5818) = 1

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

GCF(6307,5818) x common factors =1 x 1 = 1

LCM(6307,5818) = ( 6307 × 5818 ) / 1

LCM(6307,5818) = 36694126 / 1

LCM(6307,5818) = 36694126


Lets's calculate GCF of 812,894

2 812, 894
406, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36694126/2

Therefore the LCM of Fractions 6307/812,5818/894 is 18347063

Greatest Common Factor of 812,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,894 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 812,894 . The biggest common factor number is the GCF number.
So the greatest common factor 812,894 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6307/812, 5818/894

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 6307/812, 5818/894?

Answer: LCM of Numerators as per given numbers 6307/812, 5818/894 is

LCM of Numerators i.e. for 6307,5818 is 36694126

GCF of denominators i.e. for 812,894 is 2.

Thus, LCM of Fractions is 18347063.Finally, LCM of Fractions for 6307/812, 5818/894 is 18347063.