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LCM of 828, 931, 437, 245, 695

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


Find the LCM of 828, 931, 437, 245, 695 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 828, 931, 437, 245, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,931,437,245,695

Given numbers are 828,931,437,245,695

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

The LCM of 828,931,437,245,695 is 535753260.

Find LCM of 828,931,437,245,695 with Prime Factorization


5 828, 931, 437, 245, 695
7 828, 931, 437, 49, 139
7 828, 133, 437, 7, 139
19 828, 19, 437, 1, 139
23 828, 1, 23, 1, 139
36, 1, 1, 1, 139

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

5 x 7 x 7 x 19 x 23 x 36 x 1 x 1 x 1 x 139 = 535753260

Therefore, the lowest common multiple of 828,931,437,245,695 is 535753260.

LCM Formula to Find Lowest Common Multiple of 828,931,437,245,695

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.

828 x 931 x 437 x 245 x 695 = 57360422781900

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.

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

931 : 1, 7, 19, 49, 133, 931

437 : 1, 19, 23, 437

245 : 1, 5, 7, 35, 49, 245

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,931,437,245,695, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

931:7x 7x 19

437:19x 23

245:5x 7x 7

695:5x 139

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

5x 7x 7x 19x 23 = 107065

Therefore, the value for common factors is 107065.

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 = 57360422781900/(1x107065)

LCM = 57360422781900/107065

LCM = 535753260

Thus, we can understand that the LCM of 828,931,437,245,695 is 535753260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 931, 437, 245, 695

1. What is the LCM of 828, 931, 437, 245, 695?

Answer: LCM of 828, 931, 437, 245, 695 is 535753260.

2. How to calculate the LCM of 828, 931, 437, 245, 695?

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 828, 931, 437, 245, 695.

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}.