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LCM of 929, 223, 247, 715, 423

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


Find the LCM of 929, 223, 247, 715, 423 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 929, 223, 247, 715, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,223,247,715,423

Given numbers are 929,223,247,715,423

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

The LCM of 929,223,247,715,423 is 1190475842985.

Find LCM of 929,223,247,715,423 with Prime Factorization


13 929, 223, 247, 715, 423
929, 223, 19, 55, 423

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

13 x 929 x 223 x 19 x 55 x 423 = 1190475842985

Therefore, the lowest common multiple of 929,223,247,715,423 is 1190475842985.

LCM Formula to Find Lowest Common Multiple of 929,223,247,715,423

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.

929 x 223 x 247 x 715 x 423 = 15476185958805

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.

929 : 1, 929

223 : 1, 223

247 : 1, 13, 19, 247

715 : 1, 5, 11, 13, 55, 65, 143, 715

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,223,247,715,423, is 1.

Now, the common factors can be found like this.

929:929

223:223

247:13x 19

715:5x 11x 13

423:3x 3x 47

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

13 = 13

Therefore, the value for common factors is 13.

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 = 15476185958805/(1x13)

LCM = 15476185958805/13

LCM = 1190475842985

Thus, we can understand that the LCM of 929,223,247,715,423 is 1190475842985.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 223, 247, 715, 423

1. What is the LCM of 929, 223, 247, 715, 423?

Answer: LCM of 929, 223, 247, 715, 423 is 1190475842985.

2. How to calculate the LCM of 929, 223, 247, 715, 423?

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 929, 223, 247, 715, 423.

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}.