Least Common Multiple of 528/562, 210/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/562, 210/740 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/562, 210/740 is 9240.

LCM(528/562, 210/740) = 9240

LCM of 528/562, 210/740

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 528/562,210/740

Given numbers are 528/562,210/740

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 528,210

Least Common Multiple of Numerators i.e. LCM of 528,210 is 18480.

GCF of Denominators means GCF of 562,740 as per the given fractions.

GCF of 562,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,210

LCM of Fractions 528/562,210/740 is 9240

2 528, 210
3 264, 105
88, 35

∴ So the LCM of the given numbers is 2 x 3 x 88 x 35 = 18480

Least Common Multiple of 528,210 with GCF Formula

Least Common Multiple of 528,210 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 528,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,210) = 6

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

GCF(528,210) x common factors =6 x 1 = 6

LCM(528,210) = ( 528 × 210 ) / 6

LCM(528,210) = 110880 / 6

LCM(528,210) = 18480


Lets's calculate GCF of 562,740

2 562, 740
281, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/2

Therefore the LCM of Fractions 528/562,210/740 is 9240

Greatest Common Factor of 562,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,740 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 562,740 . The biggest common factor number is the GCF number.
So the greatest common factor 562,740 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 528/562, 210/740

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 528/562, 210/740?

Answer: LCM of Numerators as per given numbers 528/562, 210/740 is

LCM of Numerators i.e. for 528,210 is 18480

GCF of denominators i.e. for 562,740 is 2.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 528/562, 210/740 is 9240.