Least Common Multiple of 799/346, 778/193, 820/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 799/346, 778/193, 820/240 quickly i.e. 254865020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/346, 778/193, 820/240 is 254865020.

LCM(799/346, 778/193, 820/240) = 254865020

LCM of 799/346, 778/193, 820/240

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 799/346,778/193,820/240

Given numbers are 799/346,778/193,820/240

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 799,778,820

Least Common Multiple of Numerators i.e. LCM of 799,778,820 is 254865020.

GCF of Denominators means GCF of 346,193,240 as per the given fractions.

GCF of 346,193,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,778,820

LCM of Fractions 799/346,778/193,820/240 is 254865020

2 799, 778, 820
799, 389, 410

∴ So the LCM of the given numbers is 2 x 799 x 389 x 410 = 254865020

Least Common Multiple of 799,778,820 with GCF Formula

Least Common Multiple of 799,778,820 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 799,778,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,778,820) = 1

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

GCF(799,778,820) x common factors =1 x 2 = 2

LCM(799,778,820) = ( 799 × 778 × 820 ) / 2

LCM(799,778,820) = 509730040 / 2

LCM(799,778,820) = 254865020


Lets's calculate GCF of 346,193,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254865020/1

Therefore the LCM of Fractions 799/346,778/193,820/240 is 254865020

Greatest Common Factor of 346,193,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,193,240 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 346,193,240 . The biggest common factor number is the GCF number.
So the greatest common factor 346,193,240 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 799/346, 778/193, 820/240

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 799/346, 778/193, 820/240?

Answer: LCM of Numerators as per given numbers 799/346, 778/193, 820/240 is

LCM of Numerators i.e. for 799,778,820 is 254865020

GCF of denominators i.e. for 346,193,240 is 1.

Thus, LCM of Fractions is 254865020.Finally, LCM of Fractions for 799/346, 778/193, 820/240 is 254865020.