Least Common Multiple of 528/224, 649/632, 267/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/224, 649/632, 267/800 quickly i.e. 346566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/224, 649/632, 267/800 is 346566.

LCM(528/224, 649/632, 267/800) = 346566

LCM of 528/224, 649/632, 267/800

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 528/224,649/632,267/800

Given numbers are 528/224,649/632,267/800

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 528,649,267

Least Common Multiple of Numerators i.e. LCM of 528,649,267 is 2772528.

GCF of Denominators means GCF of 224,632,800 as per the given fractions.

GCF of 224,632,800 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,649,267

LCM of Fractions 528/224,649/632,267/800 is 346566

3 528, 649, 267
11 176, 649, 89
16, 59, 89

∴ So the LCM of the given numbers is 3 x 11 x 16 x 59 x 89 = 2772528

Least Common Multiple of 528,649,267 with GCF Formula

Least Common Multiple of 528,649,267 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 528,649,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,649,267) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(528,649,267) x common factors =1 x 33 = 33

LCM(528,649,267) = ( 528 × 649 × 267 ) / 33

LCM(528,649,267) = 91493424 / 33

LCM(528,649,267) = 2772528


Lets's calculate GCF of 224,632,800

2 224, 632, 800
2 112, 316, 400
2 56, 158, 200
28, 79, 100

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772528/8

Therefore the LCM of Fractions 528/224,649/632,267/800 is 346566

Greatest Common Factor of 224,632,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,632,800 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

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

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 224,632,800 . The biggest common factor number is the GCF number.
So the greatest common factor 224,632,800 is 8.


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 528/224, 649/632, 267/800

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 528/224, 649/632, 267/800?

Answer: LCM of Numerators as per given numbers 528/224, 649/632, 267/800 is

LCM of Numerators i.e. for 528,649,267 is 2772528

GCF of denominators i.e. for 224,632,800 is 8.

Thus, LCM of Fractions is 346566.Finally, LCM of Fractions for 528/224, 649/632, 267/800 is 346566.