Least Common Multiple of 6502/343, 3456/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6502/343, 3456/427 quickly i.e. 11235456/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6502/343, 3456/427 is 11235456/7.

LCM(6502/343, 3456/427) = 11235456/7

LCM of 6502/343, 3456/427

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 6502/343,3456/427

Given numbers are 6502/343,3456/427

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 6502,3456

Least Common Multiple of Numerators i.e. LCM of 6502,3456 is 11235456.

GCF of Denominators means GCF of 343,427 as per the given fractions.

GCF of 343,427 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6502,3456

LCM of Fractions 6502/343,3456/427 is 11235456/7

2 6502, 3456
3251, 1728

∴ So the LCM of the given numbers is 2 x 3251 x 1728 = 11235456

Least Common Multiple of 6502,3456 with GCF Formula

Least Common Multiple of 6502,3456 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 6502,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6502,3456) = 2

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

GCF(6502,3456) x common factors =2 x 1 = 2

LCM(6502,3456) = ( 6502 × 3456 ) / 2

LCM(6502,3456) = 22470912 / 2

LCM(6502,3456) = 11235456


Lets's calculate GCF of 343,427

7 343, 427
49, 61

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11235456/7

Therefore the LCM of Fractions 6502/343,3456/427 is 11235456/7

Greatest Common Factor of 343,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,427 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 343,427 . The biggest common factor number is the GCF number.
So the greatest common factor 343,427 is 7.


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 6502/343, 3456/427

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 6502/343, 3456/427?

Answer: LCM of Numerators as per given numbers 6502/343, 3456/427 is

LCM of Numerators i.e. for 6502,3456 is 11235456

GCF of denominators i.e. for 343,427 is 7.

Thus, LCM of Fractions is 11235456/7.Finally, LCM of Fractions for 6502/343, 3456/427 is 11235456/7.