Least Common Multiple of 74/584, 15/637, 895/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/584, 15/637, 895/612 quickly i.e. 198690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/584, 15/637, 895/612 is 198690.

LCM(74/584, 15/637, 895/612) = 198690

LCM of 74/584, 15/637, 895/612

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 74/584,15/637,895/612

Given numbers are 74/584,15/637,895/612

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 74,15,895

Least Common Multiple of Numerators i.e. LCM of 74,15,895 is 198690.

GCF of Denominators means GCF of 584,637,612 as per the given fractions.

GCF of 584,637,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,15,895

LCM of Fractions 74/584,15/637,895/612 is 198690

5 74, 15, 895
74, 3, 179

∴ So the LCM of the given numbers is 5 x 74 x 3 x 179 = 198690

Least Common Multiple of 74,15,895 with GCF Formula

Least Common Multiple of 74,15,895 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 74,15,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,15,895) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(74,15,895) x common factors =1 x 5 = 5

LCM(74,15,895) = ( 74 × 15 × 895 ) / 5

LCM(74,15,895) = 993450 / 5

LCM(74,15,895) = 198690


Lets's calculate GCF of 584,637,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198690/1

Therefore the LCM of Fractions 74/584,15/637,895/612 is 198690

Greatest Common Factor of 584,637,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,637,612 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

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

Greatest Common Factor

We found the factors 584,637,612 . The biggest common factor number is the GCF number.
So the greatest common factor 584,637,612 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 74/584, 15/637, 895/612

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 74/584, 15/637, 895/612?

Answer: LCM of Numerators as per given numbers 74/584, 15/637, 895/612 is

LCM of Numerators i.e. for 74,15,895 is 198690

GCF of denominators i.e. for 584,637,612 is 1.

Thus, LCM of Fractions is 198690.Finally, LCM of Fractions for 74/584, 15/637, 895/612 is 198690.