Least Common Multiple of 351/60, 779/47, 599/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 351/60, 779/47, 599/355 quickly i.e. 163783971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/60, 779/47, 599/355 is 163783971.

LCM(351/60, 779/47, 599/355) = 163783971

LCM of 351/60, 779/47, 599/355

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 351/60,779/47,599/355

Given numbers are 351/60,779/47,599/355

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 351,779,599

Least Common Multiple of Numerators i.e. LCM of 351,779,599 is 163783971.

GCF of Denominators means GCF of 60,47,355 as per the given fractions.

GCF of 60,47,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,779,599

LCM of Fractions 351/60,779/47,599/355 is 163783971

Given numbers has no common factors except 1. So, there LCM is their product i.e 163783971

Least Common Multiple of 351,779,599 with GCF Formula

Least Common Multiple of 351,779,599 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 351,779,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,779,599) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(351,779,599) x common factors =1 x 1 = 1

LCM(351,779,599) = ( 351 × 779 × 599 ) / 1

LCM(351,779,599) = 163783971 / 1

LCM(351,779,599) = 163783971


Lets's calculate GCF of 60,47,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163783971/1

Therefore the LCM of Fractions 351/60,779/47,599/355 is 163783971

Greatest Common Factor of 60,47,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,47,355 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 47

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

1,47

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 60,47,355 . The biggest common factor number is the GCF number.
So the greatest common factor 60,47,355 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 351/60, 779/47, 599/355

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 351/60, 779/47, 599/355?

Answer: LCM of Numerators as per given numbers 351/60, 779/47, 599/355 is

LCM of Numerators i.e. for 351,779,599 is 163783971

GCF of denominators i.e. for 60,47,355 is 1.

Thus, LCM of Fractions is 163783971.Finally, LCM of Fractions for 351/60, 779/47, 599/355 is 163783971.