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LCM of 176, 929, 518, 742

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


Find the LCM of 176, 929, 518, 742 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 176, 929, 518, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 176,929,518,742

Given numbers are 176,929,518,742

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

The LCM of 176,929,518,742 is 2244419408.

Find LCM of 176,929,518,742 with Prime Factorization


2 176, 929, 518, 742
7 88, 929, 259, 371
88, 929, 37, 53

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

2 x 7 x 88 x 929 x 37 x 53 = 2244419408

Therefore, the lowest common multiple of 176,929,518,742 is 2244419408.

LCM Formula to Find Lowest Common Multiple of 176,929,518,742

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.

176 x 929 x 518 x 742 = 62843743424

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.

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

929 : 1, 929

518 : 1, 2, 7, 14, 37, 74, 259, 518

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,929,518,742, is 1.

Now, the common factors can be found like this.

176:2x 2x 2x 2x 11

929:929

518:2x 7x 37

742:2x 7x 53

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 62843743424/(1x28)

LCM = 62843743424/28

LCM = 2244419408

Thus, we can understand that the LCM of 176,929,518,742 is 2244419408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 176, 929, 518, 742

1. What is the LCM of 176, 929, 518, 742?

Answer: LCM of 176, 929, 518, 742 is 2244419408.

2. How to calculate the LCM of 176, 929, 518, 742?

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 176, 929, 518, 742.

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}.