Least Common Multiple of 280/74, 371/64, 237/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/74, 371/64, 237/502 quickly i.e. 1758540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/74, 371/64, 237/502 is 1758540.

LCM(280/74, 371/64, 237/502) = 1758540

LCM of 280/74, 371/64, 237/502

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 280/74,371/64,237/502

Given numbers are 280/74,371/64,237/502

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 280,371,237

Least Common Multiple of Numerators i.e. LCM of 280,371,237 is 3517080.

GCF of Denominators means GCF of 74,64,502 as per the given fractions.

GCF of 74,64,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,371,237

LCM of Fractions 280/74,371/64,237/502 is 1758540

7 280, 371, 237
40, 53, 237

∴ So the LCM of the given numbers is 7 x 40 x 53 x 237 = 3517080

Least Common Multiple of 280,371,237 with GCF Formula

Least Common Multiple of 280,371,237 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 280,371,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,371,237) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(280,371,237) x common factors =1 x 7 = 7

LCM(280,371,237) = ( 280 × 371 × 237 ) / 7

LCM(280,371,237) = 24619560 / 7

LCM(280,371,237) = 3517080


Lets's calculate GCF of 74,64,502

2 74, 64, 502
37, 32, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3517080/2

Therefore the LCM of Fractions 280/74,371/64,237/502 is 1758540

Greatest Common Factor of 74,64,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,64,502 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 74,64,502 . The biggest common factor number is the GCF number.
So the greatest common factor 74,64,502 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 280/74, 371/64, 237/502

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 280/74, 371/64, 237/502?

Answer: LCM of Numerators as per given numbers 280/74, 371/64, 237/502 is

LCM of Numerators i.e. for 280,371,237 is 3517080

GCF of denominators i.e. for 74,64,502 is 2.

Thus, LCM of Fractions is 1758540.Finally, LCM of Fractions for 280/74, 371/64, 237/502 is 1758540.