Least Common Multiple of 4301/448, 5269/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4301/448, 5269/528 quickly i.e. 2060179/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4301/448, 5269/528 is 2060179/16.

LCM(4301/448, 5269/528) = 2060179/16

LCM of 4301/448, 5269/528

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 4301/448,5269/528

Given numbers are 4301/448,5269/528

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 4301,5269

Least Common Multiple of Numerators i.e. LCM of 4301,5269 is 2060179.

GCF of Denominators means GCF of 448,528 as per the given fractions.

GCF of 448,528 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4301,5269

LCM of Fractions 4301/448,5269/528 is 2060179/16

11 4301, 5269
391, 479

∴ So the LCM of the given numbers is 11 x 391 x 479 = 2060179

Least Common Multiple of 4301,5269 with GCF Formula

Least Common Multiple of 4301,5269 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 4301,5269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4301,5269) = 11

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

GCF(4301,5269) x common factors =11 x 1 = 11

LCM(4301,5269) = ( 4301 × 5269 ) / 11

LCM(4301,5269) = 22661969 / 11

LCM(4301,5269) = 2060179


Lets's calculate GCF of 448,528

2 448, 528
2 224, 264
2 112, 132
2 56, 66
28, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2060179/16

Therefore the LCM of Fractions 4301/448,5269/528 is 2060179/16

Greatest Common Factor of 448,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,528 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 448,528 . The biggest common factor number is the GCF number.
So the greatest common factor 448,528 is 16.


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 4301/448, 5269/528

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 4301/448, 5269/528?

Answer: LCM of Numerators as per given numbers 4301/448, 5269/528 is

LCM of Numerators i.e. for 4301,5269 is 2060179

GCF of denominators i.e. for 448,528 is 16.

Thus, LCM of Fractions is 2060179/16.Finally, LCM of Fractions for 4301/448, 5269/528 is 2060179/16.