Least Common Multiple of 68/372, 53/314, 334/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/372, 53/314, 334/980 quickly i.e. 300934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/372, 53/314, 334/980 is 300934.

LCM(68/372, 53/314, 334/980) = 300934

LCM of 68/372, 53/314, 334/980

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 68/372,53/314,334/980

Given numbers are 68/372,53/314,334/980

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 68,53,334

Least Common Multiple of Numerators i.e. LCM of 68,53,334 is 601868.

GCF of Denominators means GCF of 372,314,980 as per the given fractions.

GCF of 372,314,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,53,334

LCM of Fractions 68/372,53/314,334/980 is 300934

2 68, 53, 334
34, 53, 167

∴ So the LCM of the given numbers is 2 x 34 x 53 x 167 = 601868

Least Common Multiple of 68,53,334 with GCF Formula

Least Common Multiple of 68,53,334 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 68,53,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,53,334) = 1

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

GCF(68,53,334) x common factors =1 x 2 = 2

LCM(68,53,334) = ( 68 × 53 × 334 ) / 2

LCM(68,53,334) = 1203736 / 2

LCM(68,53,334) = 601868


Lets's calculate GCF of 372,314,980

2 372, 314, 980
186, 157, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 601868/2

Therefore the LCM of Fractions 68/372,53/314,334/980 is 300934

Greatest Common Factor of 372,314,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,314,980 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 314

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

1,2,157,314

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 372,314,980 . The biggest common factor number is the GCF number.
So the greatest common factor 372,314,980 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 68/372, 53/314, 334/980

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 68/372, 53/314, 334/980?

Answer: LCM of Numerators as per given numbers 68/372, 53/314, 334/980 is

LCM of Numerators i.e. for 68,53,334 is 601868

GCF of denominators i.e. for 372,314,980 is 2.

Thus, LCM of Fractions is 300934.Finally, LCM of Fractions for 68/372, 53/314, 334/980 is 300934.