Least Common Multiple of 892/55, 481/70, 734/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/55, 481/70, 734/415 quickly i.e. 157462084/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/55, 481/70, 734/415 is 157462084/5.

LCM(892/55, 481/70, 734/415) = 157462084/5

LCM of 892/55, 481/70, 734/415

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 892/55,481/70,734/415

Given numbers are 892/55,481/70,734/415

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 892,481,734

Least Common Multiple of Numerators i.e. LCM of 892,481,734 is 157462084.

GCF of Denominators means GCF of 55,70,415 as per the given fractions.

GCF of 55,70,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,481,734

LCM of Fractions 892/55,481/70,734/415 is 157462084/5

2 892, 481, 734
446, 481, 367

∴ So the LCM of the given numbers is 2 x 446 x 481 x 367 = 157462084

Least Common Multiple of 892,481,734 with GCF Formula

Least Common Multiple of 892,481,734 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 892,481,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,481,734) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(892,481,734) x common factors =1 x 2 = 2

LCM(892,481,734) = ( 892 × 481 × 734 ) / 2

LCM(892,481,734) = 314924168 / 2

LCM(892,481,734) = 157462084


Lets's calculate GCF of 55,70,415

5 55, 70, 415
11, 14, 83

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157462084/5

Therefore the LCM of Fractions 892/55,481/70,734/415 is 157462084/5

Greatest Common Factor of 55,70,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,70,415 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 55,70,415 . The biggest common factor number is the GCF number.
So the greatest common factor 55,70,415 is 5.


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 892/55, 481/70, 734/415

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 892/55, 481/70, 734/415?

Answer: LCM of Numerators as per given numbers 892/55, 481/70, 734/415 is

LCM of Numerators i.e. for 892,481,734 is 157462084

GCF of denominators i.e. for 55,70,415 is 5.

Thus, LCM of Fractions is 157462084/5.Finally, LCM of Fractions for 892/55, 481/70, 734/415 is 157462084/5.