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LCM of 929, 230, 893, 152, 828

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


Find the LCM of 929, 230, 893, 152, 828 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, 230, 893, 152, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,230,893,152,828

Given numbers are 929,230,893,152,828

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

The LCM of 929,230,893,152,828 is 6869063160.

Find LCM of 929,230,893,152,828 with Prime Factorization


2 929, 230, 893, 152, 828
2 929, 115, 893, 76, 414
19 929, 115, 893, 38, 207
23 929, 115, 47, 2, 207
929, 5, 47, 2, 9

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

2 x 2 x 19 x 23 x 929 x 5 x 47 x 2 x 9 = 6869063160

Therefore, the lowest common multiple of 929,230,893,152,828 is 6869063160.

LCM Formula to Find Lowest Common Multiple of 929,230,893,152,828

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 230 x 893 x 152 x 828 = 24014244807360

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

893 : 1, 19, 47, 893

152 : 1, 2, 4, 8, 19, 38, 76, 152

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,230,893,152,828, is 1.

Now, the common factors can be found like this.

929:929

230:2x 5x 23

893:19x 47

152:2x 2x 2x 19

828:2x 2x 3x 3x 23

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 2x 19x 23 = 3496

Therefore, the value for common factors is 3496.

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 = 24014244807360/(1x3496)

LCM = 24014244807360/3496

LCM = 6869063160

Thus, we can understand that the LCM of 929,230,893,152,828 is 6869063160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 230, 893, 152, 828

1. What is the LCM of 929, 230, 893, 152, 828?

Answer: LCM of 929, 230, 893, 152, 828 is 6869063160.

2. How to calculate the LCM of 929, 230, 893, 152, 828?

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, 230, 893, 152, 828.

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}.