Least Common Multiple of 898/14, 693/68, 674/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 898/14, 693/68, 674/423 quickly i.e. 209719818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/14, 693/68, 674/423 is 209719818.

LCM(898/14, 693/68, 674/423) = 209719818

LCM of 898/14, 693/68, 674/423

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 898/14,693/68,674/423

Given numbers are 898/14,693/68,674/423

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 898,693,674

Least Common Multiple of Numerators i.e. LCM of 898,693,674 is 209719818.

GCF of Denominators means GCF of 14,68,423 as per the given fractions.

GCF of 14,68,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,693,674

LCM of Fractions 898/14,693/68,674/423 is 209719818

2 898, 693, 674
449, 693, 337

∴ So the LCM of the given numbers is 2 x 449 x 693 x 337 = 209719818

Least Common Multiple of 898,693,674 with GCF Formula

Least Common Multiple of 898,693,674 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 898,693,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,693,674) = 1

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

GCF(898,693,674) x common factors =1 x 2 = 2

LCM(898,693,674) = ( 898 × 693 × 674 ) / 2

LCM(898,693,674) = 419439636 / 2

LCM(898,693,674) = 209719818


Lets's calculate GCF of 14,68,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209719818/1

Therefore the LCM of Fractions 898/14,693/68,674/423 is 209719818

Greatest Common Factor of 14,68,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,68,423 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 14,68,423 . The biggest common factor number is the GCF number.
So the greatest common factor 14,68,423 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 898/14, 693/68, 674/423

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 898/14, 693/68, 674/423?

Answer: LCM of Numerators as per given numbers 898/14, 693/68, 674/423 is

LCM of Numerators i.e. for 898,693,674 is 209719818

GCF of denominators i.e. for 14,68,423 is 1.

Thus, LCM of Fractions is 209719818.Finally, LCM of Fractions for 898/14, 693/68, 674/423 is 209719818.