Least Common Multiple of 89/98, 73/86, 56/38, 14/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/98, 73/86, 56/38, 14/858 quickly i.e. 181916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/98, 73/86, 56/38, 14/858 is 181916.

LCM(89/98, 73/86, 56/38, 14/858) = 181916

LCM of 89/98, 73/86, 56/38, 14/858

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 89/98,73/86,56/38,14/858

Given numbers are 89/98,73/86,56/38,14/858

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 89,73,56,14

Least Common Multiple of Numerators i.e. LCM of 89,73,56,14 is 363832.

GCF of Denominators means GCF of 98,86,38,858 as per the given fractions.

GCF of 98,86,38,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,73,56,14

LCM of Fractions 89/98,73/86,56/38,14/858 is 181916

2 89, 73, 56, 14
7 89, 73, 28, 7
89, 73, 4, 1

∴ So the LCM of the given numbers is 2 x 7 x 89 x 73 x 4 x 1 = 363832

Least Common Multiple of 89,73,56,14 with GCF Formula

Least Common Multiple of 89,73,56,14 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 89,73,56,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,73,56,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(89,73,56,14) x common factors =1 x 14 = 14

LCM(89,73,56,14) = ( 89 × 73 × 56 × 14 ) / 14

LCM(89,73,56,14) = 5093648 / 14

LCM(89,73,56,14) = 363832


Lets's calculate GCF of 98,86,38,858

2 98, 86, 38, 858
49, 43, 19, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363832/2

Therefore the LCM of Fractions 89/98,73/86,56/38,14/858 is 181916

Greatest Common Factor of 98,86,38,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,86,38,858 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 98,86,38,858 . The biggest common factor number is the GCF number.
So the greatest common factor 98,86,38,858 is 2.


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 89/98, 73/86, 56/38, 14/858

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 89/98, 73/86, 56/38, 14/858?

Answer: LCM of Numerators as per given numbers 89/98, 73/86, 56/38, 14/858 is

LCM of Numerators i.e. for 89,73,56,14 is 363832

GCF of denominators i.e. for 98,86,38,858 is 2.

Thus, LCM of Fractions is 181916.Finally, LCM of Fractions for 89/98, 73/86, 56/38, 14/858 is 181916.