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LCM of 822, 688, 856, 416

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


Find the LCM of 822, 688, 856, 416 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 822, 688, 856, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,688,856,416

Given numbers are 822,688,856,416

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

The LCM of 822,688,856,416 is 786660576.

Find LCM of 822,688,856,416 with Prime Factorization


2 822, 688, 856, 416
2 411, 344, 428, 208
2 411, 172, 214, 104
2 411, 86, 107, 52
411, 43, 107, 26

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

2 x 2 x 2 x 2 x 411 x 43 x 107 x 26 = 786660576

Therefore, the lowest common multiple of 822,688,856,416 is 786660576.

LCM Formula to Find Lowest Common Multiple of 822,688,856,416

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.

822 x 688 x 856 x 416 = 201385107456

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

856 : 1, 2, 4, 8, 107, 214, 428, 856

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,688,856,416, is 2.

Now, the common factors can be found like this.

822:2x 3x 137

688:2x 2x 2x 2x 43

856:2x 2x 2x 107

416:2x 2x 2x 2x 2x 13

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 201385107456/(2x128)

LCM = 201385107456/256

LCM = 786660576

Thus, we can understand that the LCM of 822,688,856,416 is 786660576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 688, 856, 416

1. What is the LCM of 822, 688, 856, 416?

Answer: LCM of 822, 688, 856, 416 is 786660576.

2. How to calculate the LCM of 822, 688, 856, 416?

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 822, 688, 856, 416.

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}.