Least Common Multiple of 463/318, 598/142, 740/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/318, 598/142, 740/782 quickly i.e. 51221690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/318, 598/142, 740/782 is 51221690.

LCM(463/318, 598/142, 740/782) = 51221690

LCM of 463/318, 598/142, 740/782

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 463/318,598/142,740/782

Given numbers are 463/318,598/142,740/782

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 463,598,740

Least Common Multiple of Numerators i.e. LCM of 463,598,740 is 102443380.

GCF of Denominators means GCF of 318,142,782 as per the given fractions.

GCF of 318,142,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,598,740

LCM of Fractions 463/318,598/142,740/782 is 51221690

2 463, 598, 740
463, 299, 370

∴ So the LCM of the given numbers is 2 x 463 x 299 x 370 = 102443380

Least Common Multiple of 463,598,740 with GCF Formula

Least Common Multiple of 463,598,740 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 463,598,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,598,740) = 1

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

GCF(463,598,740) x common factors =1 x 2 = 2

LCM(463,598,740) = ( 463 × 598 × 740 ) / 2

LCM(463,598,740) = 204886760 / 2

LCM(463,598,740) = 102443380


Lets's calculate GCF of 318,142,782

2 318, 142, 782
159, 71, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102443380/2

Therefore the LCM of Fractions 463/318,598/142,740/782 is 51221690

Greatest Common Factor of 318,142,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,142,782 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 318,142,782 . The biggest common factor number is the GCF number.
So the greatest common factor 318,142,782 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 463/318, 598/142, 740/782

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 463/318, 598/142, 740/782?

Answer: LCM of Numerators as per given numbers 463/318, 598/142, 740/782 is

LCM of Numerators i.e. for 463,598,740 is 102443380

GCF of denominators i.e. for 318,142,782 is 2.

Thus, LCM of Fractions is 51221690.Finally, LCM of Fractions for 463/318, 598/142, 740/782 is 51221690.