Least Common Multiple of 80/12, 51/575, 651/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/12, 51/575, 651/837 quickly i.e. 885360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/12, 51/575, 651/837 is 885360.

LCM(80/12, 51/575, 651/837) = 885360

LCM of 80/12, 51/575, 651/837

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 80/12,51/575,651/837

Given numbers are 80/12,51/575,651/837

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 80,51,651

Least Common Multiple of Numerators i.e. LCM of 80,51,651 is 885360.

GCF of Denominators means GCF of 12,575,837 as per the given fractions.

GCF of 12,575,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,51,651

LCM of Fractions 80/12,51/575,651/837 is 885360

3 80, 51, 651
80, 17, 217

∴ So the LCM of the given numbers is 3 x 80 x 17 x 217 = 885360

Least Common Multiple of 80,51,651 with GCF Formula

Least Common Multiple of 80,51,651 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 80,51,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,51,651) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(80,51,651) x common factors =1 x 3 = 3

LCM(80,51,651) = ( 80 × 51 × 651 ) / 3

LCM(80,51,651) = 2656080 / 3

LCM(80,51,651) = 885360


Lets's calculate GCF of 12,575,837

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885360/1

Therefore the LCM of Fractions 80/12,51/575,651/837 is 885360

Greatest Common Factor of 12,575,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,575,837 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 12,575,837 . The biggest common factor number is the GCF number.
So the greatest common factor 12,575,837 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/12, 51/575, 651/837

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 80/12, 51/575, 651/837?

Answer: LCM of Numerators as per given numbers 80/12, 51/575, 651/837 is

LCM of Numerators i.e. for 80,51,651 is 885360

GCF of denominators i.e. for 12,575,837 is 1.

Thus, LCM of Fractions is 885360.Finally, LCM of Fractions for 80/12, 51/575, 651/837 is 885360.