Least Common Multiple of 32/522, 2056/7010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/522, 2056/7010 quickly i.e. 4112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/522, 2056/7010 is 4112.

LCM(32/522, 2056/7010) = 4112

LCM of 32/522, 2056/7010

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 32/522,2056/7010

Given numbers are 32/522,2056/7010

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 32,2056

Least Common Multiple of Numerators i.e. LCM of 32,2056 is 8224.

GCF of Denominators means GCF of 522,7010 as per the given fractions.

GCF of 522,7010 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,2056

LCM of Fractions 32/522,2056/7010 is 4112

2 32, 2056
2 16, 1028
2 8, 514
4, 257

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 257 = 8224

Least Common Multiple of 32,2056 with GCF Formula

Least Common Multiple of 32,2056 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 32,2056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,2056) = 8

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

GCF(32,2056) x common factors =8 x 1 = 8

LCM(32,2056) = ( 32 × 2056 ) / 8

LCM(32,2056) = 65792 / 8

LCM(32,2056) = 8224


Lets's calculate GCF of 522,7010

2 522, 7010
261, 3505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8224/2

Therefore the LCM of Fractions 32/522,2056/7010 is 4112

Greatest Common Factor of 522,7010 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,7010 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1,2,5,10,701,1402,3505,7010

Greatest Common Factor

We found the factors 522,7010 . The biggest common factor number is the GCF number.
So the greatest common factor 522,7010 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/522, 2056/7010

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 32/522, 2056/7010?

Answer: LCM of Numerators as per given numbers 32/522, 2056/7010 is

LCM of Numerators i.e. for 32,2056 is 8224

GCF of denominators i.e. for 522,7010 is 2.

Thus, LCM of Fractions is 4112.Finally, LCM of Fractions for 32/522, 2056/7010 is 4112.