Least Common Multiple of 488/78, 779/46, 230/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/78, 779/46, 230/350 quickly i.e. 21858740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/78, 779/46, 230/350 is 21858740.

LCM(488/78, 779/46, 230/350) = 21858740

LCM of 488/78, 779/46, 230/350

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 488/78,779/46,230/350

Given numbers are 488/78,779/46,230/350

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 488,779,230

Least Common Multiple of Numerators i.e. LCM of 488,779,230 is 43717480.

GCF of Denominators means GCF of 78,46,350 as per the given fractions.

GCF of 78,46,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,779,230

LCM of Fractions 488/78,779/46,230/350 is 21858740

2 488, 779, 230
244, 779, 115

∴ So the LCM of the given numbers is 2 x 244 x 779 x 115 = 43717480

Least Common Multiple of 488,779,230 with GCF Formula

Least Common Multiple of 488,779,230 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 488,779,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,779,230) = 1

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

GCF(488,779,230) x common factors =1 x 2 = 2

LCM(488,779,230) = ( 488 × 779 × 230 ) / 2

LCM(488,779,230) = 87434960 / 2

LCM(488,779,230) = 43717480


Lets's calculate GCF of 78,46,350

2 78, 46, 350
39, 23, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43717480/2

Therefore the LCM of Fractions 488/78,779/46,230/350 is 21858740

Greatest Common Factor of 78,46,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,46,350 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 78,46,350 . The biggest common factor number is the GCF number.
So the greatest common factor 78,46,350 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 488/78, 779/46, 230/350

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 488/78, 779/46, 230/350?

Answer: LCM of Numerators as per given numbers 488/78, 779/46, 230/350 is

LCM of Numerators i.e. for 488,779,230 is 43717480

GCF of denominators i.e. for 78,46,350 is 2.

Thus, LCM of Fractions is 21858740.Finally, LCM of Fractions for 488/78, 779/46, 230/350 is 21858740.