Least Common Multiple of 698/266, 705/359, 391/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/266, 705/359, 391/321 quickly i.e. 192407190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/266, 705/359, 391/321 is 192407190.

LCM(698/266, 705/359, 391/321) = 192407190

LCM of 698/266, 705/359, 391/321

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 698/266,705/359,391/321

Given numbers are 698/266,705/359,391/321

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 698,705,391

Least Common Multiple of Numerators i.e. LCM of 698,705,391 is 192407190.

GCF of Denominators means GCF of 266,359,321 as per the given fractions.

GCF of 266,359,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,705,391

LCM of Fractions 698/266,705/359,391/321 is 192407190

Given numbers has no common factors except 1. So, there LCM is their product i.e 192407190

Least Common Multiple of 698,705,391 with GCF Formula

Least Common Multiple of 698,705,391 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 698,705,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,705,391) = 1

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

GCF(698,705,391) x common factors =1 x 1 = 1

LCM(698,705,391) = ( 698 × 705 × 391 ) / 1

LCM(698,705,391) = 192407190 / 1

LCM(698,705,391) = 192407190


Lets's calculate GCF of 266,359,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192407190/1

Therefore the LCM of Fractions 698/266,705/359,391/321 is 192407190

Greatest Common Factor of 266,359,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,359,321 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 266,359,321 . The biggest common factor number is the GCF number.
So the greatest common factor 266,359,321 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 698/266, 705/359, 391/321

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 698/266, 705/359, 391/321?

Answer: LCM of Numerators as per given numbers 698/266, 705/359, 391/321 is

LCM of Numerators i.e. for 698,705,391 is 192407190

GCF of denominators i.e. for 266,359,321 is 1.

Thus, LCM of Fractions is 192407190.Finally, LCM of Fractions for 698/266, 705/359, 391/321 is 192407190.