Least Common Multiple of 698/14, 328/46, 749/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/14, 328/46, 749/272 quickly i.e. 42869764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/14, 328/46, 749/272 is 42869764.

LCM(698/14, 328/46, 749/272) = 42869764

LCM of 698/14, 328/46, 749/272

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 698/14,328/46,749/272

Given numbers are 698/14,328/46,749/272

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 698,328,749

Least Common Multiple of Numerators i.e. LCM of 698,328,749 is 85739528.

GCF of Denominators means GCF of 14,46,272 as per the given fractions.

GCF of 14,46,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,328,749

LCM of Fractions 698/14,328/46,749/272 is 42869764

2 698, 328, 749
349, 164, 749

∴ So the LCM of the given numbers is 2 x 349 x 164 x 749 = 85739528

Least Common Multiple of 698,328,749 with GCF Formula

Least Common Multiple of 698,328,749 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 698,328,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,328,749) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(698,328,749) x common factors =1 x 2 = 2

LCM(698,328,749) = ( 698 × 328 × 749 ) / 2

LCM(698,328,749) = 171479056 / 2

LCM(698,328,749) = 85739528


Lets's calculate GCF of 14,46,272

2 14, 46, 272
7, 23, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85739528/2

Therefore the LCM of Fractions 698/14,328/46,749/272 is 42869764

Greatest Common Factor of 14,46,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,46,272 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 14,46,272 . The biggest common factor number is the GCF number.
So the greatest common factor 14,46,272 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 698/14, 328/46, 749/272

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 698/14, 328/46, 749/272?

Answer: LCM of Numerators as per given numbers 698/14, 328/46, 749/272 is

LCM of Numerators i.e. for 698,328,749 is 85739528

GCF of denominators i.e. for 14,46,272 is 2.

Thus, LCM of Fractions is 42869764.Finally, LCM of Fractions for 698/14, 328/46, 749/272 is 42869764.