Least Common Multiple of 68/188, 684/672, 222/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/188, 684/672, 222/734 quickly i.e. 215118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/188, 684/672, 222/734 is 215118.

LCM(68/188, 684/672, 222/734) = 215118

LCM of 68/188, 684/672, 222/734

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 68/188,684/672,222/734

Given numbers are 68/188,684/672,222/734

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 68,684,222

Least Common Multiple of Numerators i.e. LCM of 68,684,222 is 430236.

GCF of Denominators means GCF of 188,672,734 as per the given fractions.

GCF of 188,672,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,684,222

LCM of Fractions 68/188,684/672,222/734 is 215118

2 68, 684, 222
2 34, 342, 111
3 17, 171, 111
17, 57, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 57 x 37 = 430236

Least Common Multiple of 68,684,222 with GCF Formula

Least Common Multiple of 68,684,222 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 68,684,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,684,222) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(68,684,222) x common factors =2 x 12 = 24

LCM(68,684,222) = ( 68 × 684 × 222 ) / 24

LCM(68,684,222) = 10325664 / 24

LCM(68,684,222) = 430236


Lets's calculate GCF of 188,672,734

2 188, 672, 734
94, 336, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430236/2

Therefore the LCM of Fractions 68/188,684/672,222/734 is 215118

Greatest Common Factor of 188,672,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,672,734 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 188,672,734 . The biggest common factor number is the GCF number.
So the greatest common factor 188,672,734 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 68/188, 684/672, 222/734

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 68/188, 684/672, 222/734?

Answer: LCM of Numerators as per given numbers 68/188, 684/672, 222/734 is

LCM of Numerators i.e. for 68,684,222 is 430236

GCF of denominators i.e. for 188,672,734 is 2.

Thus, LCM of Fractions is 215118.Finally, LCM of Fractions for 68/188, 684/672, 222/734 is 215118.