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LCM of 499, 657, 182, 949

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 499, 657, 182, 949 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 499, 657, 182, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 499,657,182,949

Given numbers are 499,657,182,949

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 499,657,182,949 is 59667426.

Find LCM of 499,657,182,949 with Prime Factorization


13 499, 657, 182, 949
73 499, 657, 14, 73
499, 9, 14, 1

Multiply the prime numbers at the bottom and the left side.

13 x 73 x 499 x 9 x 14 x 1 = 59667426

Therefore, the lowest common multiple of 499,657,182,949 is 59667426.

LCM Formula to Find Lowest Common Multiple of 499,657,182,949

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

499 x 657 x 182 x 949 = 56624387274

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

499 : 1, 499

657 : 1, 3, 9, 73, 219, 657

182 : 1, 2, 7, 13, 14, 26, 91, 182

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,657,182,949, is 1.

Now, the common factors can be found like this.

499:499

657:3x 3x 73

182:2x 7x 13

949:13x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 73 = 949

Therefore, the value for common factors is 949.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 56624387274/(1x949)

LCM = 56624387274/949

LCM = 59667426

Thus, we can understand that the LCM of 499,657,182,949 is 59667426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 499, 657, 182, 949

1. What is the LCM of 499, 657, 182, 949?

Answer: LCM of 499, 657, 182, 949 is 59667426.

2. How to calculate the LCM of 499, 657, 182, 949?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 499, 657, 182, 949.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.