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LCM of 928, 986, 449, 119

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


Find the LCM of 928, 986, 449, 119 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 928, 986, 449, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,986,449,119

Given numbers are 928,986,449,119

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

The LCM of 928,986,449,119 is 49583968.

Find LCM of 928,986,449,119 with Prime Factorization


2 928, 986, 449, 119
17 464, 493, 449, 119
29 464, 29, 449, 7
16, 1, 449, 7

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

2 x 17 x 29 x 16 x 1 x 449 x 7 = 49583968

Therefore, the lowest common multiple of 928,986,449,119 is 49583968.

LCM Formula to Find Lowest Common Multiple of 928,986,449,119

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.

928 x 986 x 449 x 119 = 48889792448

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

986 : 1, 2, 17, 29, 34, 58, 493, 986

449 : 1, 449

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,986,449,119, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

986:2x 17x 29

449:449

119:7x 17

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

2x 17x 29 = 986

Therefore, the value for common factors is 986.

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 = 48889792448/(1x986)

LCM = 48889792448/986

LCM = 49583968

Thus, we can understand that the LCM of 928,986,449,119 is 49583968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 986, 449, 119

1. What is the LCM of 928, 986, 449, 119?

Answer: LCM of 928, 986, 449, 119 is 49583968.

2. How to calculate the LCM of 928, 986, 449, 119?

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 928, 986, 449, 119.

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}.