Least Common Multiple of 689/215, 338/225, 374/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/215, 338/225, 374/149 quickly i.e. 3349918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/215, 338/225, 374/149 is 3349918.

LCM(689/215, 338/225, 374/149) = 3349918

LCM of 689/215, 338/225, 374/149

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 689/215,338/225,374/149

Given numbers are 689/215,338/225,374/149

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 689,338,374

Least Common Multiple of Numerators i.e. LCM of 689,338,374 is 3349918.

GCF of Denominators means GCF of 215,225,149 as per the given fractions.

GCF of 215,225,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,338,374

LCM of Fractions 689/215,338/225,374/149 is 3349918

2 689, 338, 374
13 689, 169, 187
53, 13, 187

∴ So the LCM of the given numbers is 2 x 13 x 53 x 13 x 187 = 3349918

Least Common Multiple of 689,338,374 with GCF Formula

Least Common Multiple of 689,338,374 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 689,338,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,338,374) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(689,338,374) x common factors =1 x 26 = 26

LCM(689,338,374) = ( 689 × 338 × 374 ) / 26

LCM(689,338,374) = 87097868 / 26

LCM(689,338,374) = 3349918


Lets's calculate GCF of 215,225,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3349918/1

Therefore the LCM of Fractions 689/215,338/225,374/149 is 3349918

Greatest Common Factor of 215,225,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,225,149 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

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 215,225,149 . The biggest common factor number is the GCF number.
So the greatest common factor 215,225,149 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 689/215, 338/225, 374/149

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 689/215, 338/225, 374/149?

Answer: LCM of Numerators as per given numbers 689/215, 338/225, 374/149 is

LCM of Numerators i.e. for 689,338,374 is 3349918

GCF of denominators i.e. for 215,225,149 is 1.

Thus, LCM of Fractions is 3349918.Finally, LCM of Fractions for 689/215, 338/225, 374/149 is 3349918.