Least Common Multiple of 68/822, 62/948, 211/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/822, 62/948, 211/298 quickly i.e. 222394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/822, 62/948, 211/298 is 222394.

LCM(68/822, 62/948, 211/298) = 222394

LCM of 68/822, 62/948, 211/298

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 68/822,62/948,211/298

Given numbers are 68/822,62/948,211/298

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 68,62,211

Least Common Multiple of Numerators i.e. LCM of 68,62,211 is 444788.

GCF of Denominators means GCF of 822,948,298 as per the given fractions.

GCF of 822,948,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,62,211

LCM of Fractions 68/822,62/948,211/298 is 222394

2 68, 62, 211
34, 31, 211

∴ So the LCM of the given numbers is 2 x 34 x 31 x 211 = 444788

Least Common Multiple of 68,62,211 with GCF Formula

Least Common Multiple of 68,62,211 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 68,62,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,62,211) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,62,211) x common factors =1 x 2 = 2

LCM(68,62,211) = ( 68 × 62 × 211 ) / 2

LCM(68,62,211) = 889576 / 2

LCM(68,62,211) = 444788


Lets's calculate GCF of 822,948,298

2 822, 948, 298
411, 474, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444788/2

Therefore the LCM of Fractions 68/822,62/948,211/298 is 222394

Greatest Common Factor of 822,948,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,948,298 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 822,948,298 . The biggest common factor number is the GCF number.
So the greatest common factor 822,948,298 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 68/822, 62/948, 211/298

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 68/822, 62/948, 211/298?

Answer: LCM of Numerators as per given numbers 68/822, 62/948, 211/298 is

LCM of Numerators i.e. for 68,62,211 is 444788

GCF of denominators i.e. for 822,948,298 is 2.

Thus, LCM of Fractions is 222394.Finally, LCM of Fractions for 68/822, 62/948, 211/298 is 222394.