Least Common Multiple of 85/898, 90/586, 658/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/898, 90/586, 658/149 quickly i.e. 503370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/898, 90/586, 658/149 is 503370.

LCM(85/898, 90/586, 658/149) = 503370

LCM of 85/898, 90/586, 658/149

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 85/898,90/586,658/149

Given numbers are 85/898,90/586,658/149

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 85,90,658

Least Common Multiple of Numerators i.e. LCM of 85,90,658 is 503370.

GCF of Denominators means GCF of 898,586,149 as per the given fractions.

GCF of 898,586,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,90,658

LCM of Fractions 85/898,90/586,658/149 is 503370

2 85, 90, 658
5 85, 45, 329
17, 9, 329

∴ So the LCM of the given numbers is 2 x 5 x 17 x 9 x 329 = 503370

Least Common Multiple of 85,90,658 with GCF Formula

Least Common Multiple of 85,90,658 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 85,90,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,90,658) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,90,658) x common factors =1 x 10 = 10

LCM(85,90,658) = ( 85 × 90 × 658 ) / 10

LCM(85,90,658) = 5033700 / 10

LCM(85,90,658) = 503370


Lets's calculate GCF of 898,586,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503370/1

Therefore the LCM of Fractions 85/898,90/586,658/149 is 503370

Greatest Common Factor of 898,586,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,586,149 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 898,586,149 . The biggest common factor number is the GCF number.
So the greatest common factor 898,586,149 is 1.


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 85/898, 90/586, 658/149

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 85/898, 90/586, 658/149?

Answer: LCM of Numerators as per given numbers 85/898, 90/586, 658/149 is

LCM of Numerators i.e. for 85,90,658 is 503370

GCF of denominators i.e. for 898,586,149 is 1.

Thus, LCM of Fractions is 503370.Finally, LCM of Fractions for 85/898, 90/586, 658/149 is 503370.