Least Common Multiple of 58/670, 6222/9374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/670, 6222/9374 quickly i.e. 90219 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/670, 6222/9374 is 90219.

LCM(58/670, 6222/9374) = 90219

LCM of 58/670, 6222/9374

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 58/670,6222/9374

Given numbers are 58/670,6222/9374

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 58,6222

Least Common Multiple of Numerators i.e. LCM of 58,6222 is 180438.

GCF of Denominators means GCF of 670,9374 as per the given fractions.

GCF of 670,9374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,6222

LCM of Fractions 58/670,6222/9374 is 90219

2 58, 6222
29, 3111

∴ So the LCM of the given numbers is 2 x 29 x 3111 = 180438

Least Common Multiple of 58,6222 with GCF Formula

Least Common Multiple of 58,6222 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 58,6222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,6222) = 2

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

GCF(58,6222) x common factors =2 x 1 = 2

LCM(58,6222) = ( 58 × 6222 ) / 2

LCM(58,6222) = 360876 / 2

LCM(58,6222) = 180438


Lets's calculate GCF of 670,9374

2 670, 9374
335, 4687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180438/2

Therefore the LCM of Fractions 58/670,6222/9374 is 90219

Greatest Common Factor of 670,9374 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,9374 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 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1,2,43,86,109,218,4687,9374

Greatest Common Factor

We found the factors 670,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 670,9374 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/670, 6222/9374

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 58/670, 6222/9374?

Answer: LCM of Numerators as per given numbers 58/670, 6222/9374 is

LCM of Numerators i.e. for 58,6222 is 180438

GCF of denominators i.e. for 670,9374 is 2.

Thus, LCM of Fractions is 90219.Finally, LCM of Fractions for 58/670, 6222/9374 is 90219.