Least Common Multiple of 6314/545, 6001/6467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6314/545, 6001/6467 quickly i.e. 37890314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6314/545, 6001/6467 is 37890314.

LCM(6314/545, 6001/6467) = 37890314

LCM of 6314/545, 6001/6467

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 6314/545,6001/6467

Given numbers are 6314/545,6001/6467

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 6314,6001

Least Common Multiple of Numerators i.e. LCM of 6314,6001 is 37890314.

GCF of Denominators means GCF of 545,6467 as per the given fractions.

GCF of 545,6467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6314,6001

LCM of Fractions 6314/545,6001/6467 is 37890314

Given numbers has no common factors except 1. So, there LCM is their product i.e 37890314

Least Common Multiple of 6314,6001 with GCF Formula

Least Common Multiple of 6314,6001 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 6314,6001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6314,6001) = 1

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

GCF(6314,6001) x common factors =1 x 1 = 1

LCM(6314,6001) = ( 6314 × 6001 ) / 1

LCM(6314,6001) = 37890314 / 1

LCM(6314,6001) = 37890314


Lets's calculate GCF of 545,6467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37890314/1

Therefore the LCM of Fractions 6314/545,6001/6467 is 37890314

Greatest Common Factor of 545,6467 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,6467 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 6467

List of positive integer factors of 6467 that divides 6467 without a remainder.

1,29,223,6467

Greatest Common Factor

We found the factors 545,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 545,6467 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 6314/545, 6001/6467

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 6314/545, 6001/6467?

Answer: LCM of Numerators as per given numbers 6314/545, 6001/6467 is

LCM of Numerators i.e. for 6314,6001 is 37890314

GCF of denominators i.e. for 545,6467 is 1.

Thus, LCM of Fractions is 37890314.Finally, LCM of Fractions for 6314/545, 6001/6467 is 37890314.