Least Common Multiple of 670/58, 6084/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 670/58, 6084/412 quickly i.e. 1019070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/58, 6084/412 is 1019070.

LCM(670/58, 6084/412) = 1019070

LCM of 670/58, 6084/412

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 670/58,6084/412

Given numbers are 670/58,6084/412

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 670,6084

Least Common Multiple of Numerators i.e. LCM of 670,6084 is 2038140.

GCF of Denominators means GCF of 58,412 as per the given fractions.

GCF of 58,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,6084

LCM of Fractions 670/58,6084/412 is 1019070

2 670, 6084
335, 3042

∴ So the LCM of the given numbers is 2 x 335 x 3042 = 2038140

Least Common Multiple of 670,6084 with GCF Formula

Least Common Multiple of 670,6084 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 670,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,6084) = 2

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

GCF(670,6084) x common factors =2 x 1 = 2

LCM(670,6084) = ( 670 × 6084 ) / 2

LCM(670,6084) = 4076280 / 2

LCM(670,6084) = 2038140


Lets's calculate GCF of 58,412

2 58, 412
29, 206

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2038140/2

Therefore the LCM of Fractions 670/58,6084/412 is 1019070

Greatest Common Factor of 58,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,412 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 58,412 . The biggest common factor number is the GCF number.
So the greatest common factor 58,412 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 670/58, 6084/412

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 670/58, 6084/412?

Answer: LCM of Numerators as per given numbers 670/58, 6084/412 is

LCM of Numerators i.e. for 670,6084 is 2038140

GCF of denominators i.e. for 58,412 is 2.

Thus, LCM of Fractions is 1019070.Finally, LCM of Fractions for 670/58, 6084/412 is 1019070.