Least Common Multiple of 74/44, 820/40, 514/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/44, 820/40, 514/122 quickly i.e. 3898690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/44, 820/40, 514/122 is 3898690.

LCM(74/44, 820/40, 514/122) = 3898690

LCM of 74/44, 820/40, 514/122

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 74/44,820/40,514/122

Given numbers are 74/44,820/40,514/122

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 74,820,514

Least Common Multiple of Numerators i.e. LCM of 74,820,514 is 7797380.

GCF of Denominators means GCF of 44,40,122 as per the given fractions.

GCF of 44,40,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,820,514

LCM of Fractions 74/44,820/40,514/122 is 3898690

2 74, 820, 514
37, 410, 257

∴ So the LCM of the given numbers is 2 x 37 x 410 x 257 = 7797380

Least Common Multiple of 74,820,514 with GCF Formula

Least Common Multiple of 74,820,514 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 74,820,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,820,514) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,820,514) x common factors =2 x 2 = 4

LCM(74,820,514) = ( 74 × 820 × 514 ) / 4

LCM(74,820,514) = 31189520 / 4

LCM(74,820,514) = 7797380


Lets's calculate GCF of 44,40,122

2 44, 40, 122
22, 20, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7797380/2

Therefore the LCM of Fractions 74/44,820/40,514/122 is 3898690

Greatest Common Factor of 44,40,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,40,122 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 44,40,122 . The biggest common factor number is the GCF number.
So the greatest common factor 44,40,122 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 74/44, 820/40, 514/122

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 74/44, 820/40, 514/122?

Answer: LCM of Numerators as per given numbers 74/44, 820/40, 514/122 is

LCM of Numerators i.e. for 74,820,514 is 7797380

GCF of denominators i.e. for 44,40,122 is 2.

Thus, LCM of Fractions is 3898690.Finally, LCM of Fractions for 74/44, 820/40, 514/122 is 3898690.