Least Common Multiple of 37/280, 816/652, 645/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/280, 816/652, 645/174 quickly i.e. 3245640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/280, 816/652, 645/174 is 3245640.

LCM(37/280, 816/652, 645/174) = 3245640

LCM of 37/280, 816/652, 645/174

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 37/280,816/652,645/174

Given numbers are 37/280,816/652,645/174

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 37,816,645

Least Common Multiple of Numerators i.e. LCM of 37,816,645 is 6491280.

GCF of Denominators means GCF of 280,652,174 as per the given fractions.

GCF of 280,652,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,816,645

LCM of Fractions 37/280,816/652,645/174 is 3245640

3 37, 816, 645
37, 272, 215

∴ So the LCM of the given numbers is 3 x 37 x 272 x 215 = 6491280

Least Common Multiple of 37,816,645 with GCF Formula

Least Common Multiple of 37,816,645 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 37,816,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,816,645) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,816,645) x common factors =1 x 3 = 3

LCM(37,816,645) = ( 37 × 816 × 645 ) / 3

LCM(37,816,645) = 19473840 / 3

LCM(37,816,645) = 6491280


Lets's calculate GCF of 280,652,174

2 280, 652, 174
140, 326, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6491280/2

Therefore the LCM of Fractions 37/280,816/652,645/174 is 3245640

Greatest Common Factor of 280,652,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,652,174 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 280,652,174 . The biggest common factor number is the GCF number.
So the greatest common factor 280,652,174 is 2.


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 37/280, 816/652, 645/174

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 37/280, 816/652, 645/174?

Answer: LCM of Numerators as per given numbers 37/280, 816/652, 645/174 is

LCM of Numerators i.e. for 37,816,645 is 6491280

GCF of denominators i.e. for 280,652,174 is 2.

Thus, LCM of Fractions is 3245640.Finally, LCM of Fractions for 37/280, 816/652, 645/174 is 3245640.