Least Common Multiple of 60/214, 21/314, 697/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/214, 21/314, 697/934 quickly i.e. 146370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/214, 21/314, 697/934 is 146370.

LCM(60/214, 21/314, 697/934) = 146370

LCM of 60/214, 21/314, 697/934

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 60/214,21/314,697/934

Given numbers are 60/214,21/314,697/934

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 60,21,697

Least Common Multiple of Numerators i.e. LCM of 60,21,697 is 292740.

GCF of Denominators means GCF of 214,314,934 as per the given fractions.

GCF of 214,314,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,21,697

LCM of Fractions 60/214,21/314,697/934 is 146370

3 60, 21, 697
20, 7, 697

∴ So the LCM of the given numbers is 3 x 20 x 7 x 697 = 292740

Least Common Multiple of 60,21,697 with GCF Formula

Least Common Multiple of 60,21,697 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 60,21,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,21,697) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(60,21,697) x common factors =1 x 3 = 3

LCM(60,21,697) = ( 60 × 21 × 697 ) / 3

LCM(60,21,697) = 878220 / 3

LCM(60,21,697) = 292740


Lets's calculate GCF of 214,314,934

2 214, 314, 934
107, 157, 467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292740/2

Therefore the LCM of Fractions 60/214,21/314,697/934 is 146370

Greatest Common Factor of 214,314,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,314,934 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 214,314,934 . The biggest common factor number is the GCF number.
So the greatest common factor 214,314,934 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 60/214, 21/314, 697/934

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 60/214, 21/314, 697/934?

Answer: LCM of Numerators as per given numbers 60/214, 21/314, 697/934 is

LCM of Numerators i.e. for 60,21,697 is 292740

GCF of denominators i.e. for 214,314,934 is 2.

Thus, LCM of Fractions is 146370.Finally, LCM of Fractions for 60/214, 21/314, 697/934 is 146370.