Least Common Multiple of 6214/364, 1284/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6214/364, 1284/982 quickly i.e. 1994694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6214/364, 1284/982 is 1994694.

LCM(6214/364, 1284/982) = 1994694

LCM of 6214/364, 1284/982

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 6214/364,1284/982

Given numbers are 6214/364,1284/982

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 6214,1284

Least Common Multiple of Numerators i.e. LCM of 6214,1284 is 3989388.

GCF of Denominators means GCF of 364,982 as per the given fractions.

GCF of 364,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6214,1284

LCM of Fractions 6214/364,1284/982 is 1994694

2 6214, 1284
3107, 642

∴ So the LCM of the given numbers is 2 x 3107 x 642 = 3989388

Least Common Multiple of 6214,1284 with GCF Formula

Least Common Multiple of 6214,1284 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 6214,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6214,1284) = 2

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

GCF(6214,1284) x common factors =2 x 1 = 2

LCM(6214,1284) = ( 6214 × 1284 ) / 2

LCM(6214,1284) = 7978776 / 2

LCM(6214,1284) = 3989388


Lets's calculate GCF of 364,982

2 364, 982
182, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3989388/2

Therefore the LCM of Fractions 6214/364,1284/982 is 1994694

Greatest Common Factor of 364,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,982 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 364,982 . The biggest common factor number is the GCF number.
So the greatest common factor 364,982 is 2.


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 6214/364, 1284/982

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 6214/364, 1284/982?

Answer: LCM of Numerators as per given numbers 6214/364, 1284/982 is

LCM of Numerators i.e. for 6214,1284 is 3989388

GCF of denominators i.e. for 364,982 is 2.

Thus, LCM of Fractions is 1994694.Finally, LCM of Fractions for 6214/364, 1284/982 is 1994694.