Least Common Multiple of 414/892, 5985/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/892, 5985/368 quickly i.e. 275310/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/892, 5985/368 is 275310/4.

LCM(414/892, 5985/368) = 275310/4

LCM of 414/892, 5985/368

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 414/892,5985/368

Given numbers are 414/892,5985/368

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 414,5985

Least Common Multiple of Numerators i.e. LCM of 414,5985 is 275310.

GCF of Denominators means GCF of 892,368 as per the given fractions.

GCF of 892,368 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,5985

LCM of Fractions 414/892,5985/368 is 275310/4

3 414, 5985
3 138, 1995
46, 665

∴ So the LCM of the given numbers is 3 x 3 x 46 x 665 = 275310

Least Common Multiple of 414,5985 with GCF Formula

Least Common Multiple of 414,5985 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 414,5985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,5985) = 9

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

GCF(414,5985) x common factors =9 x 1 = 9

LCM(414,5985) = ( 414 × 5985 ) / 9

LCM(414,5985) = 2477790 / 9

LCM(414,5985) = 275310


Lets's calculate GCF of 892,368

2 892, 368
2 446, 184
223, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275310/4

Therefore the LCM of Fractions 414/892,5985/368 is 275310/4

Greatest Common Factor of 892,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,368 By Matching Biggest Common Factor Method

Factors of 892

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

1,2,4,223,446,892

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 892,368 . The biggest common factor number is the GCF number.
So the greatest common factor 892,368 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 414/892, 5985/368

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 414/892, 5985/368?

Answer: LCM of Numerators as per given numbers 414/892, 5985/368 is

LCM of Numerators i.e. for 414,5985 is 275310

GCF of denominators i.e. for 892,368 is 4.

Thus, LCM of Fractions is 275310/4.Finally, LCM of Fractions for 414/892, 5985/368 is 275310/4.