Least Common Multiple of 90/612, 424/186, 602/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/612, 424/186, 602/758 quickly i.e. 2871540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/612, 424/186, 602/758 is 2871540.

LCM(90/612, 424/186, 602/758) = 2871540

LCM of 90/612, 424/186, 602/758

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 90/612,424/186,602/758

Given numbers are 90/612,424/186,602/758

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 90,424,602

Least Common Multiple of Numerators i.e. LCM of 90,424,602 is 5743080.

GCF of Denominators means GCF of 612,186,758 as per the given fractions.

GCF of 612,186,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,424,602

LCM of Fractions 90/612,424/186,602/758 is 2871540

2 90, 424, 602
45, 212, 301

∴ So the LCM of the given numbers is 2 x 45 x 212 x 301 = 5743080

Least Common Multiple of 90,424,602 with GCF Formula

Least Common Multiple of 90,424,602 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 90,424,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,424,602) = 2

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

GCF(90,424,602) x common factors =2 x 2 = 4

LCM(90,424,602) = ( 90 × 424 × 602 ) / 4

LCM(90,424,602) = 22972320 / 4

LCM(90,424,602) = 5743080


Lets's calculate GCF of 612,186,758

2 612, 186, 758
306, 93, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5743080/2

Therefore the LCM of Fractions 90/612,424/186,602/758 is 2871540

Greatest Common Factor of 612,186,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,186,758 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 612,186,758 . The biggest common factor number is the GCF number.
So the greatest common factor 612,186,758 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/612, 424/186, 602/758

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 90/612, 424/186, 602/758?

Answer: LCM of Numerators as per given numbers 90/612, 424/186, 602/758 is

LCM of Numerators i.e. for 90,424,602 is 5743080

GCF of denominators i.e. for 612,186,758 is 2.

Thus, LCM of Fractions is 2871540.Finally, LCM of Fractions for 90/612, 424/186, 602/758 is 2871540.