Least Common Multiple of 8257/496, 3444/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8257/496, 3444/364 quickly i.e. 7109277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8257/496, 3444/364 is 7109277.

LCM(8257/496, 3444/364) = 7109277

LCM of 8257/496, 3444/364

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 8257/496,3444/364

Given numbers are 8257/496,3444/364

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 8257,3444

Least Common Multiple of Numerators i.e. LCM of 8257,3444 is 28437108.

GCF of Denominators means GCF of 496,364 as per the given fractions.

GCF of 496,364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8257,3444

LCM of Fractions 8257/496,3444/364 is 7109277

Given numbers has no common factors except 1. So, there LCM is their product i.e 28437108

Least Common Multiple of 8257,3444 with GCF Formula

Least Common Multiple of 8257,3444 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 8257,3444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8257,3444) = 1

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

GCF(8257,3444) x common factors =1 x 1 = 1

LCM(8257,3444) = ( 8257 × 3444 ) / 1

LCM(8257,3444) = 28437108 / 1

LCM(8257,3444) = 28437108


Lets's calculate GCF of 496,364

2 496, 364
2 248, 182
124, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28437108/4

Therefore the LCM of Fractions 8257/496,3444/364 is 7109277

Greatest Common Factor of 496,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,364 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

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

Greatest Common Factor

We found the factors 496,364 . The biggest common factor number is the GCF number.
So the greatest common factor 496,364 is 4.


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 8257/496, 3444/364

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 8257/496, 3444/364?

Answer: LCM of Numerators as per given numbers 8257/496, 3444/364 is

LCM of Numerators i.e. for 8257,3444 is 28437108

GCF of denominators i.e. for 496,364 is 4.

Thus, LCM of Fractions is 7109277.Finally, LCM of Fractions for 8257/496, 3444/364 is 7109277.