Least Common Multiple of 658/299, 226/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/299, 226/897 quickly i.e. 74354/299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/299, 226/897 is 74354/299.

LCM(658/299, 226/897) = 74354/299

LCM of 658/299, 226/897

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 658/299,226/897

Given numbers are 658/299,226/897

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 658,226

Least Common Multiple of Numerators i.e. LCM of 658,226 is 74354.

GCF of Denominators means GCF of 299,897 as per the given fractions.

GCF of 299,897 is 299 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,226

LCM of Fractions 658/299,226/897 is 74354/299

2 658, 226
329, 113

∴ So the LCM of the given numbers is 2 x 329 x 113 = 74354

Least Common Multiple of 658,226 with GCF Formula

Least Common Multiple of 658,226 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 658,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,226) = 2

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

GCF(658,226) x common factors =2 x 1 = 2

LCM(658,226) = ( 658 × 226 ) / 2

LCM(658,226) = 148708 / 2

LCM(658,226) = 74354


Lets's calculate GCF of 299,897

13 299, 897
23 23, 69
1, 3

∴ So the GCF of the given numbers is 13 x 23 = 299

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74354/299

Therefore the LCM of Fractions 658/299,226/897 is 74354/299

Greatest Common Factor of 299,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,897 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 299,897 . The biggest common factor number is the GCF number.
So the greatest common factor 299,897 is 299.


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 658/299, 226/897

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 658/299, 226/897?

Answer: LCM of Numerators as per given numbers 658/299, 226/897 is

LCM of Numerators i.e. for 658,226 is 74354

GCF of denominators i.e. for 299,897 is 299.

Thus, LCM of Fractions is 74354/299.Finally, LCM of Fractions for 658/299, 226/897 is 74354/299.