Least Common Multiple of 319/21, 852/29, 680/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/21, 852/29, 680/340 quickly i.e. 46203960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/21, 852/29, 680/340 is 46203960.

LCM(319/21, 852/29, 680/340) = 46203960

LCM of 319/21, 852/29, 680/340

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 319/21,852/29,680/340

Given numbers are 319/21,852/29,680/340

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 319,852,680

Least Common Multiple of Numerators i.e. LCM of 319,852,680 is 46203960.

GCF of Denominators means GCF of 21,29,340 as per the given fractions.

GCF of 21,29,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,852,680

LCM of Fractions 319/21,852/29,680/340 is 46203960

2 319, 852, 680
2 319, 426, 340
319, 213, 170

∴ So the LCM of the given numbers is 2 x 2 x 319 x 213 x 170 = 46203960

Least Common Multiple of 319,852,680 with GCF Formula

Least Common Multiple of 319,852,680 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 319,852,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,852,680) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(319,852,680) x common factors =1 x 4 = 4

LCM(319,852,680) = ( 319 × 852 × 680 ) / 4

LCM(319,852,680) = 184815840 / 4

LCM(319,852,680) = 46203960


Lets's calculate GCF of 21,29,340

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46203960/1

Therefore the LCM of Fractions 319/21,852/29,680/340 is 46203960

Greatest Common Factor of 21,29,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,29,340 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 21,29,340 . The biggest common factor number is the GCF number.
So the greatest common factor 21,29,340 is 1.


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 319/21, 852/29, 680/340

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 319/21, 852/29, 680/340?

Answer: LCM of Numerators as per given numbers 319/21, 852/29, 680/340 is

LCM of Numerators i.e. for 319,852,680 is 46203960

GCF of denominators i.e. for 21,29,340 is 1.

Thus, LCM of Fractions is 46203960.Finally, LCM of Fractions for 319/21, 852/29, 680/340 is 46203960.