Least Common Multiple of 8300/632, 4081/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8300/632, 4081/892 quickly i.e. 8468075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8300/632, 4081/892 is 8468075.

LCM(8300/632, 4081/892) = 8468075

LCM of 8300/632, 4081/892

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 8300/632,4081/892

Given numbers are 8300/632,4081/892

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 8300,4081

Least Common Multiple of Numerators i.e. LCM of 8300,4081 is 33872300.

GCF of Denominators means GCF of 632,892 as per the given fractions.

GCF of 632,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8300,4081

LCM of Fractions 8300/632,4081/892 is 8468075

Given numbers has no common factors except 1. So, there LCM is their product i.e 33872300

Least Common Multiple of 8300,4081 with GCF Formula

Least Common Multiple of 8300,4081 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 8300,4081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8300,4081) = 1

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

GCF(8300,4081) x common factors =1 x 1 = 1

LCM(8300,4081) = ( 8300 × 4081 ) / 1

LCM(8300,4081) = 33872300 / 1

LCM(8300,4081) = 33872300


Lets's calculate GCF of 632,892

2 632, 892
2 316, 446
158, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33872300/4

Therefore the LCM of Fractions 8300/632,4081/892 is 8468075

Greatest Common Factor of 632,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,892 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 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 632,892 . The biggest common factor number is the GCF number.
So the greatest common factor 632,892 is 4.


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Frequently Asked Questions on Fractional LCM of 8300/632, 4081/892

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 8300/632, 4081/892?

Answer: LCM of Numerators as per given numbers 8300/632, 4081/892 is

LCM of Numerators i.e. for 8300,4081 is 33872300

GCF of denominators i.e. for 632,892 is 4.

Thus, LCM of Fractions is 8468075.Finally, LCM of Fractions for 8300/632, 4081/892 is 8468075.