Least Common Multiple of 345/15, 267/47, 790/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/15, 267/47, 790/708 quickly i.e. 4851390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/15, 267/47, 790/708 is 4851390.

LCM(345/15, 267/47, 790/708) = 4851390

LCM of 345/15, 267/47, 790/708

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 345/15,267/47,790/708

Given numbers are 345/15,267/47,790/708

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 345,267,790

Least Common Multiple of Numerators i.e. LCM of 345,267,790 is 4851390.

GCF of Denominators means GCF of 15,47,708 as per the given fractions.

GCF of 15,47,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,267,790

LCM of Fractions 345/15,267/47,790/708 is 4851390

3 345, 267, 790
5 115, 89, 790
23, 89, 158

∴ So the LCM of the given numbers is 3 x 5 x 23 x 89 x 158 = 4851390

Least Common Multiple of 345,267,790 with GCF Formula

Least Common Multiple of 345,267,790 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 345,267,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,267,790) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(345,267,790) x common factors =1 x 15 = 15

LCM(345,267,790) = ( 345 × 267 × 790 ) / 15

LCM(345,267,790) = 72770850 / 15

LCM(345,267,790) = 4851390


Lets's calculate GCF of 15,47,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4851390/1

Therefore the LCM of Fractions 345/15,267/47,790/708 is 4851390

Greatest Common Factor of 15,47,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,47,708 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 15,47,708 . The biggest common factor number is the GCF number.
So the greatest common factor 15,47,708 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 345/15, 267/47, 790/708

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 345/15, 267/47, 790/708?

Answer: LCM of Numerators as per given numbers 345/15, 267/47, 790/708 is

LCM of Numerators i.e. for 345,267,790 is 4851390

GCF of denominators i.e. for 15,47,708 is 1.

Thus, LCM of Fractions is 4851390.Finally, LCM of Fractions for 345/15, 267/47, 790/708 is 4851390.