Least Common Multiple of 130/832, 445/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 130/832, 445/526 quickly i.e. 5785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/832, 445/526 is 5785.

LCM(130/832, 445/526) = 5785

LCM of 130/832, 445/526

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 130/832,445/526

Given numbers are 130/832,445/526

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 130,445

Least Common Multiple of Numerators i.e. LCM of 130,445 is 11570.

GCF of Denominators means GCF of 832,526 as per the given fractions.

GCF of 832,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,445

LCM of Fractions 130/832,445/526 is 5785

5 130, 445
26, 89

∴ So the LCM of the given numbers is 5 x 26 x 89 = 11570

Least Common Multiple of 130,445 with GCF Formula

Least Common Multiple of 130,445 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 130,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,445) = 5

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

GCF(130,445) x common factors =5 x 1 = 5

LCM(130,445) = ( 130 × 445 ) / 5

LCM(130,445) = 57850 / 5

LCM(130,445) = 11570


Lets's calculate GCF of 832,526

2 832, 526
416, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11570/2

Therefore the LCM of Fractions 130/832,445/526 is 5785

Greatest Common Factor of 832,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,526 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 832,526 . The biggest common factor number is the GCF number.
So the greatest common factor 832,526 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 130/832, 445/526

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 130/832, 445/526?

Answer: LCM of Numerators as per given numbers 130/832, 445/526 is

LCM of Numerators i.e. for 130,445 is 11570

GCF of denominators i.e. for 832,526 is 2.

Thus, LCM of Fractions is 5785.Finally, LCM of Fractions for 130/832, 445/526 is 5785.