Least Common Multiple of 898/55, 448/81, 316/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 898/55, 448/81, 316/875 quickly i.e. 15891008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/55, 448/81, 316/875 is 15891008.

LCM(898/55, 448/81, 316/875) = 15891008

LCM of 898/55, 448/81, 316/875

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 898/55,448/81,316/875

Given numbers are 898/55,448/81,316/875

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 898,448,316

Least Common Multiple of Numerators i.e. LCM of 898,448,316 is 15891008.

GCF of Denominators means GCF of 55,81,875 as per the given fractions.

GCF of 55,81,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,448,316

LCM of Fractions 898/55,448/81,316/875 is 15891008

2 898, 448, 316
2 449, 224, 158
449, 112, 79

∴ So the LCM of the given numbers is 2 x 2 x 449 x 112 x 79 = 15891008

Least Common Multiple of 898,448,316 with GCF Formula

Least Common Multiple of 898,448,316 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 898,448,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,448,316) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(898,448,316) x common factors =2 x 4 = 8

LCM(898,448,316) = ( 898 × 448 × 316 ) / 8

LCM(898,448,316) = 127128064 / 8

LCM(898,448,316) = 15891008


Lets's calculate GCF of 55,81,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15891008/1

Therefore the LCM of Fractions 898/55,448/81,316/875 is 15891008

Greatest Common Factor of 55,81,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,81,875 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 55,81,875 . The biggest common factor number is the GCF number.
So the greatest common factor 55,81,875 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 898/55, 448/81, 316/875

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 898/55, 448/81, 316/875?

Answer: LCM of Numerators as per given numbers 898/55, 448/81, 316/875 is

LCM of Numerators i.e. for 898,448,316 is 15891008

GCF of denominators i.e. for 55,81,875 is 1.

Thus, LCM of Fractions is 15891008.Finally, LCM of Fractions for 898/55, 448/81, 316/875 is 15891008.