Least Common Multiple of 10/670, 919/413, 363/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/670, 919/413, 363/596 quickly i.e. 3335970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/670, 919/413, 363/596 is 3335970.

LCM(10/670, 919/413, 363/596) = 3335970

LCM of 10/670, 919/413, 363/596

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 10/670,919/413,363/596

Given numbers are 10/670,919/413,363/596

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 10,919,363

Least Common Multiple of Numerators i.e. LCM of 10,919,363 is 3335970.

GCF of Denominators means GCF of 670,413,596 as per the given fractions.

GCF of 670,413,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,919,363

LCM of Fractions 10/670,919/413,363/596 is 3335970

Given numbers has no common factors except 1. So, there LCM is their product i.e 3335970

Least Common Multiple of 10,919,363 with GCF Formula

Least Common Multiple of 10,919,363 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 10,919,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,919,363) = 1

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

GCF(10,919,363) x common factors =1 x 1 = 1

LCM(10,919,363) = ( 10 × 919 × 363 ) / 1

LCM(10,919,363) = 3335970 / 1

LCM(10,919,363) = 3335970


Lets's calculate GCF of 670,413,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3335970/1

Therefore the LCM of Fractions 10/670,919/413,363/596 is 3335970

Greatest Common Factor of 670,413,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,413,596 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 670,413,596 . The biggest common factor number is the GCF number.
So the greatest common factor 670,413,596 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 10/670, 919/413, 363/596

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 10/670, 919/413, 363/596?

Answer: LCM of Numerators as per given numbers 10/670, 919/413, 363/596 is

LCM of Numerators i.e. for 10,919,363 is 3335970

GCF of denominators i.e. for 670,413,596 is 1.

Thus, LCM of Fractions is 3335970.Finally, LCM of Fractions for 10/670, 919/413, 363/596 is 3335970.