Least Common Multiple of 74/36, 14/306, 651/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/36, 14/306, 651/625 quickly i.e. 48174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/36, 14/306, 651/625 is 48174.

LCM(74/36, 14/306, 651/625) = 48174

LCM of 74/36, 14/306, 651/625

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 74/36,14/306,651/625

Given numbers are 74/36,14/306,651/625

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 74,14,651

Least Common Multiple of Numerators i.e. LCM of 74,14,651 is 48174.

GCF of Denominators means GCF of 36,306,625 as per the given fractions.

GCF of 36,306,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,14,651

LCM of Fractions 74/36,14/306,651/625 is 48174

2 74, 14, 651
7 37, 7, 651
37, 1, 93

∴ So the LCM of the given numbers is 2 x 7 x 37 x 1 x 93 = 48174

Least Common Multiple of 74,14,651 with GCF Formula

Least Common Multiple of 74,14,651 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 74,14,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,14,651) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(74,14,651) x common factors =1 x 14 = 14

LCM(74,14,651) = ( 74 × 14 × 651 ) / 14

LCM(74,14,651) = 674436 / 14

LCM(74,14,651) = 48174


Lets's calculate GCF of 36,306,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48174/1

Therefore the LCM of Fractions 74/36,14/306,651/625 is 48174

Greatest Common Factor of 36,306,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,306,625 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 36,306,625 . The biggest common factor number is the GCF number.
So the greatest common factor 36,306,625 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 74/36, 14/306, 651/625

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 74/36, 14/306, 651/625?

Answer: LCM of Numerators as per given numbers 74/36, 14/306, 651/625 is

LCM of Numerators i.e. for 74,14,651 is 48174

GCF of denominators i.e. for 36,306,625 is 1.

Thus, LCM of Fractions is 48174.Finally, LCM of Fractions for 74/36, 14/306, 651/625 is 48174.