Least Common Multiple of 828/632, 887/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 828/632, 887/810 quickly i.e. 367218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/632, 887/810 is 367218.

LCM(828/632, 887/810) = 367218

LCM of 828/632, 887/810

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 828/632,887/810

Given numbers are 828/632,887/810

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 828,887

Least Common Multiple of Numerators i.e. LCM of 828,887 is 734436.

GCF of Denominators means GCF of 632,810 as per the given fractions.

GCF of 632,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,887

LCM of Fractions 828/632,887/810 is 367218

Given numbers has no common factors except 1. So, there LCM is their product i.e 734436

Least Common Multiple of 828,887 with GCF Formula

Least Common Multiple of 828,887 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 828,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,887) = 1

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

GCF(828,887) x common factors =1 x 1 = 1

LCM(828,887) = ( 828 × 887 ) / 1

LCM(828,887) = 734436 / 1

LCM(828,887) = 734436


Lets's calculate GCF of 632,810

2 632, 810
316, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734436/2

Therefore the LCM of Fractions 828/632,887/810 is 367218

Greatest Common Factor of 632,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,810 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 632,810 . The biggest common factor number is the GCF number.
So the greatest common factor 632,810 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 828/632, 887/810

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 828/632, 887/810?

Answer: LCM of Numerators as per given numbers 828/632, 887/810 is

LCM of Numerators i.e. for 828,887 is 734436

GCF of denominators i.e. for 632,810 is 2.

Thus, LCM of Fractions is 367218.Finally, LCM of Fractions for 828/632, 887/810 is 367218.