Least Common Multiple of 68/382, 119/222, 253/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/382, 119/222, 253/224 quickly i.e. 60214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/382, 119/222, 253/224 is 60214.

LCM(68/382, 119/222, 253/224) = 60214

LCM of 68/382, 119/222, 253/224

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 68/382,119/222,253/224

Given numbers are 68/382,119/222,253/224

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 68,119,253

Least Common Multiple of Numerators i.e. LCM of 68,119,253 is 120428.

GCF of Denominators means GCF of 382,222,224 as per the given fractions.

GCF of 382,222,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,119,253

LCM of Fractions 68/382,119/222,253/224 is 60214

17 68, 119, 253
4, 7, 253

∴ So the LCM of the given numbers is 17 x 4 x 7 x 253 = 120428

Least Common Multiple of 68,119,253 with GCF Formula

Least Common Multiple of 68,119,253 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 68,119,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,119,253) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(68,119,253) x common factors =1 x 17 = 17

LCM(68,119,253) = ( 68 × 119 × 253 ) / 17

LCM(68,119,253) = 2047276 / 17

LCM(68,119,253) = 120428


Lets's calculate GCF of 382,222,224

2 382, 222, 224
191, 111, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120428/2

Therefore the LCM of Fractions 68/382,119/222,253/224 is 60214

Greatest Common Factor of 382,222,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,222,224 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 382,222,224 . The biggest common factor number is the GCF number.
So the greatest common factor 382,222,224 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 68/382, 119/222, 253/224

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 68/382, 119/222, 253/224?

Answer: LCM of Numerators as per given numbers 68/382, 119/222, 253/224 is

LCM of Numerators i.e. for 68,119,253 is 120428

GCF of denominators i.e. for 382,222,224 is 2.

Thus, LCM of Fractions is 60214.Finally, LCM of Fractions for 68/382, 119/222, 253/224 is 60214.