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LCM of 762, 352, 542, 802, 772

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


Find the LCM of 762, 352, 542, 802, 772 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 762, 352, 542, 802, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,352,542,802,772

Given numbers are 762,352,542,802,772

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

The LCM of 762,352,542,802,772 is 2812798434336.

Find LCM of 762,352,542,802,772 with Prime Factorization


2 762, 352, 542, 802, 772
2 381, 176, 271, 401, 386
381, 88, 271, 401, 193

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

2 x 2 x 381 x 88 x 271 x 401 x 193 = 2812798434336

Therefore, the lowest common multiple of 762,352,542,802,772 is 2812798434336.

LCM Formula to Find Lowest Common Multiple of 762,352,542,802,772

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.

762 x 352 x 542 x 802 x 772 = 90009549898752

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.

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

542 : 1, 2, 271, 542

802 : 1, 2, 401, 802

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,352,542,802,772, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

352:2x 2x 2x 2x 2x 11

542:2x 271

802:2x 401

772:2x 2x 193

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 2 = 16

Therefore, the value for common factors is 16.

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 = 90009549898752/(2x16)

LCM = 90009549898752/32

LCM = 2812798434336

Thus, we can understand that the LCM of 762,352,542,802,772 is 2812798434336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 352, 542, 802, 772

1. What is the LCM of 762, 352, 542, 802, 772?

Answer: LCM of 762, 352, 542, 802, 772 is 2812798434336.

2. How to calculate the LCM of 762, 352, 542, 802, 772?

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 762, 352, 542, 802, 772.

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}.