Least Common Multiple of 68/528, 125/890, 533/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/528, 125/890, 533/570 quickly i.e. 2265250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/528, 125/890, 533/570 is 2265250.

LCM(68/528, 125/890, 533/570) = 2265250

LCM of 68/528, 125/890, 533/570

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 68/528,125/890,533/570

Given numbers are 68/528,125/890,533/570

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 68,125,533

Least Common Multiple of Numerators i.e. LCM of 68,125,533 is 4530500.

GCF of Denominators means GCF of 528,890,570 as per the given fractions.

GCF of 528,890,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,125,533

LCM of Fractions 68/528,125/890,533/570 is 2265250

Given numbers has no common factors except 1. So, there LCM is their product i.e 4530500

Least Common Multiple of 68,125,533 with GCF Formula

Least Common Multiple of 68,125,533 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 68,125,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,125,533) = 1

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

GCF(68,125,533) x common factors =1 x 1 = 1

LCM(68,125,533) = ( 68 × 125 × 533 ) / 1

LCM(68,125,533) = 4530500 / 1

LCM(68,125,533) = 4530500


Lets's calculate GCF of 528,890,570

2 528, 890, 570
264, 445, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4530500/2

Therefore the LCM of Fractions 68/528,125/890,533/570 is 2265250

Greatest Common Factor of 528,890,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,890,570 By Matching Biggest Common Factor Method

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

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 528,890,570 . The biggest common factor number is the GCF number.
So the greatest common factor 528,890,570 is 2.


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 68/528, 125/890, 533/570

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 68/528, 125/890, 533/570?

Answer: LCM of Numerators as per given numbers 68/528, 125/890, 533/570 is

LCM of Numerators i.e. for 68,125,533 is 4530500

GCF of denominators i.e. for 528,890,570 is 2.

Thus, LCM of Fractions is 2265250.Finally, LCM of Fractions for 68/528, 125/890, 533/570 is 2265250.