Least Common Multiple of 494/710, 825/444, 334/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/710, 825/444, 334/158 quickly i.e. 34030425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/710, 825/444, 334/158 is 34030425.

LCM(494/710, 825/444, 334/158) = 34030425

LCM of 494/710, 825/444, 334/158

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 494/710,825/444,334/158

Given numbers are 494/710,825/444,334/158

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 494,825,334

Least Common Multiple of Numerators i.e. LCM of 494,825,334 is 68060850.

GCF of Denominators means GCF of 710,444,158 as per the given fractions.

GCF of 710,444,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,825,334

LCM of Fractions 494/710,825/444,334/158 is 34030425

2 494, 825, 334
247, 825, 167

∴ So the LCM of the given numbers is 2 x 247 x 825 x 167 = 68060850

Least Common Multiple of 494,825,334 with GCF Formula

Least Common Multiple of 494,825,334 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 494,825,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,825,334) = 1

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

GCF(494,825,334) x common factors =1 x 2 = 2

LCM(494,825,334) = ( 494 × 825 × 334 ) / 2

LCM(494,825,334) = 136121700 / 2

LCM(494,825,334) = 68060850


Lets's calculate GCF of 710,444,158

2 710, 444, 158
355, 222, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68060850/2

Therefore the LCM of Fractions 494/710,825/444,334/158 is 34030425

Greatest Common Factor of 710,444,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,444,158 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 710,444,158 . The biggest common factor number is the GCF number.
So the greatest common factor 710,444,158 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 494/710, 825/444, 334/158

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 494/710, 825/444, 334/158?

Answer: LCM of Numerators as per given numbers 494/710, 825/444, 334/158 is

LCM of Numerators i.e. for 494,825,334 is 68060850

GCF of denominators i.e. for 710,444,158 is 2.

Thus, LCM of Fractions is 34030425.Finally, LCM of Fractions for 494/710, 825/444, 334/158 is 34030425.