Least Common Multiple of 494/914, 4015/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/914, 4015/958 quickly i.e. 991705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/914, 4015/958 is 991705.

LCM(494/914, 4015/958) = 991705

LCM of 494/914, 4015/958

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 494/914,4015/958

Given numbers are 494/914,4015/958

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 494,4015

Least Common Multiple of Numerators i.e. LCM of 494,4015 is 1983410.

GCF of Denominators means GCF of 914,958 as per the given fractions.

GCF of 914,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,4015

LCM of Fractions 494/914,4015/958 is 991705

Given numbers has no common factors except 1. So, there LCM is their product i.e 1983410

Least Common Multiple of 494,4015 with GCF Formula

Least Common Multiple of 494,4015 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 494,4015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,4015) = 1

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

GCF(494,4015) x common factors =1 x 1 = 1

LCM(494,4015) = ( 494 × 4015 ) / 1

LCM(494,4015) = 1983410 / 1

LCM(494,4015) = 1983410


Lets's calculate GCF of 914,958

2 914, 958
457, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1983410/2

Therefore the LCM of Fractions 494/914,4015/958 is 991705

Greatest Common Factor of 914,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,958 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 914,958 . The biggest common factor number is the GCF number.
So the greatest common factor 914,958 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 494/914, 4015/958

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 494/914, 4015/958?

Answer: LCM of Numerators as per given numbers 494/914, 4015/958 is

LCM of Numerators i.e. for 494,4015 is 1983410

GCF of denominators i.e. for 914,958 is 2.

Thus, LCM of Fractions is 991705.Finally, LCM of Fractions for 494/914, 4015/958 is 991705.