Least Common Multiple of 6428/713, 1778/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6428/713, 1778/248 quickly i.e. 5714492/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6428/713, 1778/248 is 5714492/31.

LCM(6428/713, 1778/248) = 5714492/31

LCM of 6428/713, 1778/248

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 6428/713,1778/248

Given numbers are 6428/713,1778/248

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 6428,1778

Least Common Multiple of Numerators i.e. LCM of 6428,1778 is 5714492.

GCF of Denominators means GCF of 713,248 as per the given fractions.

GCF of 713,248 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6428,1778

LCM of Fractions 6428/713,1778/248 is 5714492/31

2 6428, 1778
3214, 889

∴ So the LCM of the given numbers is 2 x 3214 x 889 = 5714492

Least Common Multiple of 6428,1778 with GCF Formula

Least Common Multiple of 6428,1778 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 6428,1778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6428,1778) = 2

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

GCF(6428,1778) x common factors =2 x 1 = 2

LCM(6428,1778) = ( 6428 × 1778 ) / 2

LCM(6428,1778) = 11428984 / 2

LCM(6428,1778) = 5714492


Lets's calculate GCF of 713,248

31 713, 248
23, 8

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5714492/31

Therefore the LCM of Fractions 6428/713,1778/248 is 5714492/31

Greatest Common Factor of 713,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,248 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 713,248 . The biggest common factor number is the GCF number.
So the greatest common factor 713,248 is 31.


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 6428/713, 1778/248

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 6428/713, 1778/248?

Answer: LCM of Numerators as per given numbers 6428/713, 1778/248 is

LCM of Numerators i.e. for 6428,1778 is 5714492

GCF of denominators i.e. for 713,248 is 31.

Thus, LCM of Fractions is 5714492/31.Finally, LCM of Fractions for 6428/713, 1778/248 is 5714492/31.