Least Common Multiple of 14/880, 35/788, 479/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/880, 35/788, 479/858 quickly i.e. 16765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/880, 35/788, 479/858 is 16765.

LCM(14/880, 35/788, 479/858) = 16765

LCM of 14/880, 35/788, 479/858

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 14/880,35/788,479/858

Given numbers are 14/880,35/788,479/858

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 14,35,479

Least Common Multiple of Numerators i.e. LCM of 14,35,479 is 33530.

GCF of Denominators means GCF of 880,788,858 as per the given fractions.

GCF of 880,788,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,35,479

LCM of Fractions 14/880,35/788,479/858 is 16765

7 14, 35, 479
2, 5, 479

∴ So the LCM of the given numbers is 7 x 2 x 5 x 479 = 33530

Least Common Multiple of 14,35,479 with GCF Formula

Least Common Multiple of 14,35,479 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 14,35,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,35,479) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,35,479) x common factors =1 x 7 = 7

LCM(14,35,479) = ( 14 × 35 × 479 ) / 7

LCM(14,35,479) = 234710 / 7

LCM(14,35,479) = 33530


Lets's calculate GCF of 880,788,858

2 880, 788, 858
440, 394, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33530/2

Therefore the LCM of Fractions 14/880,35/788,479/858 is 16765

Greatest Common Factor of 880,788,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,788,858 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 880,788,858 . The biggest common factor number is the GCF number.
So the greatest common factor 880,788,858 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 14/880, 35/788, 479/858

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 14/880, 35/788, 479/858?

Answer: LCM of Numerators as per given numbers 14/880, 35/788, 479/858 is

LCM of Numerators i.e. for 14,35,479 is 33530

GCF of denominators i.e. for 880,788,858 is 2.

Thus, LCM of Fractions is 16765.Finally, LCM of Fractions for 14/880, 35/788, 479/858 is 16765.