Least Common Multiple of 5850/637, 5274/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5850/637, 5274/416 quickly i.e. 131850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5850/637, 5274/416 is 131850.

LCM(5850/637, 5274/416) = 131850

LCM of 5850/637, 5274/416

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 5850/637,5274/416

Given numbers are 5850/637,5274/416

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 5850,5274

Least Common Multiple of Numerators i.e. LCM of 5850,5274 is 1714050.

GCF of Denominators means GCF of 637,416 as per the given fractions.

GCF of 637,416 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5850,5274

LCM of Fractions 5850/637,5274/416 is 131850

2 5850, 5274
3 2925, 2637
3 975, 879
325, 293

∴ So the LCM of the given numbers is 2 x 3 x 3 x 325 x 293 = 1714050

Least Common Multiple of 5850,5274 with GCF Formula

Least Common Multiple of 5850,5274 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 5850,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5850,5274) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(5850,5274) x common factors =18 x 1 = 18

LCM(5850,5274) = ( 5850 × 5274 ) / 18

LCM(5850,5274) = 30852900 / 18

LCM(5850,5274) = 1714050


Lets's calculate GCF of 637,416

13 637, 416
49, 32

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1714050/13

Therefore the LCM of Fractions 5850/637,5274/416 is 131850

Greatest Common Factor of 637,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,416 By Matching Biggest Common Factor Method

Factors of 637

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

1,7,13,49,91,637

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 637,416 . The biggest common factor number is the GCF number.
So the greatest common factor 637,416 is 13.


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 5850/637, 5274/416

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 5850/637, 5274/416?

Answer: LCM of Numerators as per given numbers 5850/637, 5274/416 is

LCM of Numerators i.e. for 5850,5274 is 1714050

GCF of denominators i.e. for 637,416 is 13.

Thus, LCM of Fractions is 131850.Finally, LCM of Fractions for 5850/637, 5274/416 is 131850.