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LCM of 735, 498, 351, 926, 469

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


Find the LCM of 735, 498, 351, 926, 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 735, 498, 351, 926, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,498,351,926,469

Given numbers are 735,498,351,926,469

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

The LCM of 735,498,351,926,469 is 442830048570.

Find LCM of 735,498,351,926,469 with Prime Factorization


2 735, 498, 351, 926, 469
3 735, 249, 351, 463, 469
7 245, 83, 117, 463, 469
35, 83, 117, 463, 67

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

2 x 3 x 7 x 35 x 83 x 117 x 463 x 67 = 442830048570

Therefore, the lowest common multiple of 735,498,351,926,469 is 442830048570.

LCM Formula to Find Lowest Common Multiple of 735,498,351,926,469

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.

735 x 498 x 351 x 926 x 469 = 55796586119820

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

498 : 1, 2, 3, 6, 83, 166, 249, 498

351 : 1, 3, 9, 13, 27, 39, 117, 351

926 : 1, 2, 463, 926

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,498,351,926,469, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

498:2x 3x 83

351:3x 3x 3x 13

926:2x 463

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 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 55796586119820/(1x126)

LCM = 55796586119820/126

LCM = 442830048570

Thus, we can understand that the LCM of 735,498,351,926,469 is 442830048570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 498, 351, 926, 469

1. What is the LCM of 735, 498, 351, 926, 469?

Answer: LCM of 735, 498, 351, 926, 469 is 442830048570.

2. How to calculate the LCM of 735, 498, 351, 926, 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 735, 498, 351, 926, 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}.