Least Common Multiple of 670/590, 393/807, 574/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/590, 393/807, 574/698 quickly i.e. 75569970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/590, 393/807, 574/698 is 75569970.

LCM(670/590, 393/807, 574/698) = 75569970

LCM of 670/590, 393/807, 574/698

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 670/590,393/807,574/698

Given numbers are 670/590,393/807,574/698

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 670,393,574

Least Common Multiple of Numerators i.e. LCM of 670,393,574 is 75569970.

GCF of Denominators means GCF of 590,807,698 as per the given fractions.

GCF of 590,807,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,393,574

LCM of Fractions 670/590,393/807,574/698 is 75569970

2 670, 393, 574
335, 393, 287

∴ So the LCM of the given numbers is 2 x 335 x 393 x 287 = 75569970

Least Common Multiple of 670,393,574 with GCF Formula

Least Common Multiple of 670,393,574 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 670,393,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,393,574) = 1

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

GCF(670,393,574) x common factors =1 x 2 = 2

LCM(670,393,574) = ( 670 × 393 × 574 ) / 2

LCM(670,393,574) = 151139940 / 2

LCM(670,393,574) = 75569970


Lets's calculate GCF of 590,807,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75569970/1

Therefore the LCM of Fractions 670/590,393/807,574/698 is 75569970

Greatest Common Factor of 590,807,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,807,698 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 590,807,698 . The biggest common factor number is the GCF number.
So the greatest common factor 590,807,698 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 670/590, 393/807, 574/698

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 670/590, 393/807, 574/698?

Answer: LCM of Numerators as per given numbers 670/590, 393/807, 574/698 is

LCM of Numerators i.e. for 670,393,574 is 75569970

GCF of denominators i.e. for 590,807,698 is 1.

Thus, LCM of Fractions is 75569970.Finally, LCM of Fractions for 670/590, 393/807, 574/698 is 75569970.