Least Common Multiple of 214/68, 608/1702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/68, 608/1702 quickly i.e. 32528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/68, 608/1702 is 32528.

LCM(214/68, 608/1702) = 32528

LCM of 214/68, 608/1702

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 214/68,608/1702

Given numbers are 214/68,608/1702

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 214,608

Least Common Multiple of Numerators i.e. LCM of 214,608 is 65056.

GCF of Denominators means GCF of 68,1702 as per the given fractions.

GCF of 68,1702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,608

LCM of Fractions 214/68,608/1702 is 32528

2 214, 608
107, 304

∴ So the LCM of the given numbers is 2 x 107 x 304 = 65056

Least Common Multiple of 214,608 with GCF Formula

Least Common Multiple of 214,608 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 214,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,608) = 2

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

GCF(214,608) x common factors =2 x 1 = 2

LCM(214,608) = ( 214 × 608 ) / 2

LCM(214,608) = 130112 / 2

LCM(214,608) = 65056


Lets's calculate GCF of 68,1702

2 68, 1702
34, 851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65056/2

Therefore the LCM of Fractions 214/68,608/1702 is 32528

Greatest Common Factor of 68,1702 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,1702 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1,2,23,37,46,74,851,1702

Greatest Common Factor

We found the factors 68,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 68,1702 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 214/68, 608/1702

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 214/68, 608/1702?

Answer: LCM of Numerators as per given numbers 214/68, 608/1702 is

LCM of Numerators i.e. for 214,608 is 65056

GCF of denominators i.e. for 68,1702 is 2.

Thus, LCM of Fractions is 32528.Finally, LCM of Fractions for 214/68, 608/1702 is 32528.