Least Common Multiple of 1492/528, 1325/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1492/528, 1325/564 quickly i.e. 1976900/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1492/528, 1325/564 is 1976900/12.

LCM(1492/528, 1325/564) = 1976900/12

LCM of 1492/528, 1325/564

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 1492/528,1325/564

Given numbers are 1492/528,1325/564

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 1492,1325

Least Common Multiple of Numerators i.e. LCM of 1492,1325 is 1976900.

GCF of Denominators means GCF of 528,564 as per the given fractions.

GCF of 528,564 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1492,1325

LCM of Fractions 1492/528,1325/564 is 1976900/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 1976900

Least Common Multiple of 1492,1325 with GCF Formula

Least Common Multiple of 1492,1325 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 1492,1325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1492,1325) = 1

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

GCF(1492,1325) x common factors =1 x 1 = 1

LCM(1492,1325) = ( 1492 × 1325 ) / 1

LCM(1492,1325) = 1976900 / 1

LCM(1492,1325) = 1976900


Lets's calculate GCF of 528,564

2 528, 564
2 264, 282
3 132, 141
44, 47

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1976900/12

Therefore the LCM of Fractions 1492/528,1325/564 is 1976900/12

Greatest Common Factor of 528,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,564 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 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 528,564 . The biggest common factor number is the GCF number.
So the greatest common factor 528,564 is 12.


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 1492/528, 1325/564

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 1492/528, 1325/564?

Answer: LCM of Numerators as per given numbers 1492/528, 1325/564 is

LCM of Numerators i.e. for 1492,1325 is 1976900

GCF of denominators i.e. for 528,564 is 12.

Thus, LCM of Fractions is 1976900/12.Finally, LCM of Fractions for 1492/528, 1325/564 is 1976900/12.