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LCM of 795, 988, 689, 762, 469

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


Find the LCM of 795, 988, 689, 762, 469 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 795, 988, 689, 762, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 795,988,689,762,469

Given numbers are 795,988,689,762,469

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

The LCM of 795,988,689,762,469 is 46784353980.

Find LCM of 795,988,689,762,469 with Prime Factorization


2 795, 988, 689, 762, 469
3 795, 494, 689, 381, 469
13 265, 494, 689, 127, 469
53 265, 38, 53, 127, 469
5, 38, 1, 127, 469

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

2 x 3 x 13 x 53 x 5 x 38 x 1 x 127 x 469 = 46784353980

Therefore, the lowest common multiple of 795,988,689,762,469 is 46784353980.

LCM Formula to Find Lowest Common Multiple of 795,988,689,762,469

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.

795 x 988 x 689 x 762 x 469 = 193406519353320

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

689 : 1, 13, 53, 689

762 : 1, 2, 3, 6, 127, 254, 381, 762

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,988,689,762,469, is 1.

Now, the common factors can be found like this.

795:3x 5x 53

988:2x 2x 13x 19

689:13x 53

762:2x 3x 127

469:7x 67

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

2x 3x 13x 53 = 4134

Therefore, the value for common factors is 4134.

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 = 193406519353320/(1x4134)

LCM = 193406519353320/4134

LCM = 46784353980

Thus, we can understand that the LCM of 795,988,689,762,469 is 46784353980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 795, 988, 689, 762, 469

1. What is the LCM of 795, 988, 689, 762, 469?

Answer: LCM of 795, 988, 689, 762, 469 is 46784353980.

2. How to calculate the LCM of 795, 988, 689, 762, 469?

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 795, 988, 689, 762, 469.

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}.