Least Common Multiple of 70/739, 16/475, 997/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/739, 16/475, 997/790 quickly i.e. 558320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/739, 16/475, 997/790 is 558320.

LCM(70/739, 16/475, 997/790) = 558320

LCM of 70/739, 16/475, 997/790

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 70/739,16/475,997/790

Given numbers are 70/739,16/475,997/790

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 70,16,997

Least Common Multiple of Numerators i.e. LCM of 70,16,997 is 558320.

GCF of Denominators means GCF of 739,475,790 as per the given fractions.

GCF of 739,475,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,16,997

LCM of Fractions 70/739,16/475,997/790 is 558320

2 70, 16, 997
35, 8, 997

∴ So the LCM of the given numbers is 2 x 35 x 8 x 997 = 558320

Least Common Multiple of 70,16,997 with GCF Formula

Least Common Multiple of 70,16,997 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 70,16,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,16,997) = 1

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

GCF(70,16,997) x common factors =1 x 2 = 2

LCM(70,16,997) = ( 70 × 16 × 997 ) / 2

LCM(70,16,997) = 1116640 / 2

LCM(70,16,997) = 558320


Lets's calculate GCF of 739,475,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558320/1

Therefore the LCM of Fractions 70/739,16/475,997/790 is 558320

Greatest Common Factor of 739,475,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,475,790 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 739,475,790 . The biggest common factor number is the GCF number.
So the greatest common factor 739,475,790 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 70/739, 16/475, 997/790

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 70/739, 16/475, 997/790?

Answer: LCM of Numerators as per given numbers 70/739, 16/475, 997/790 is

LCM of Numerators i.e. for 70,16,997 is 558320

GCF of denominators i.e. for 739,475,790 is 1.

Thus, LCM of Fractions is 558320.Finally, LCM of Fractions for 70/739, 16/475, 997/790 is 558320.