Least Common Multiple of 67/748, 286/620, 518/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/748, 286/620, 518/442 quickly i.e. 2481479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/748, 286/620, 518/442 is 2481479.

LCM(67/748, 286/620, 518/442) = 2481479

LCM of 67/748, 286/620, 518/442

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 67/748,286/620,518/442

Given numbers are 67/748,286/620,518/442

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 67,286,518

Least Common Multiple of Numerators i.e. LCM of 67,286,518 is 4962958.

GCF of Denominators means GCF of 748,620,442 as per the given fractions.

GCF of 748,620,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,286,518

LCM of Fractions 67/748,286/620,518/442 is 2481479

2 67, 286, 518
67, 143, 259

∴ So the LCM of the given numbers is 2 x 67 x 143 x 259 = 4962958

Least Common Multiple of 67,286,518 with GCF Formula

Least Common Multiple of 67,286,518 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 67,286,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,286,518) = 1

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

GCF(67,286,518) x common factors =1 x 2 = 2

LCM(67,286,518) = ( 67 × 286 × 518 ) / 2

LCM(67,286,518) = 9925916 / 2

LCM(67,286,518) = 4962958


Lets's calculate GCF of 748,620,442

2 748, 620, 442
374, 310, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4962958/2

Therefore the LCM of Fractions 67/748,286/620,518/442 is 2481479

Greatest Common Factor of 748,620,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,620,442 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 748,620,442 . The biggest common factor number is the GCF number.
So the greatest common factor 748,620,442 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 67/748, 286/620, 518/442

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 67/748, 286/620, 518/442?

Answer: LCM of Numerators as per given numbers 67/748, 286/620, 518/442 is

LCM of Numerators i.e. for 67,286,518 is 4962958

GCF of denominators i.e. for 748,620,442 is 2.

Thus, LCM of Fractions is 2481479.Finally, LCM of Fractions for 67/748, 286/620, 518/442 is 2481479.