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LCM of 822, 962, 758, 203

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


Find the LCM of 822, 962, 758, 203 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, 962, 758, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,962,758,203

Given numbers are 822,962,758,203

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

The LCM of 822,962,758,203 is 30419504934.

Find LCM of 822,962,758,203 with Prime Factorization


2 822, 962, 758, 203
411, 481, 379, 203

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

2 x 411 x 481 x 379 x 203 = 30419504934

Therefore, the lowest common multiple of 822,962,758,203 is 30419504934.

LCM Formula to Find Lowest Common Multiple of 822,962,758,203

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 962 x 758 x 203 = 121678019736

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

758 : 1, 2, 379, 758

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,962,758,203, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

962:2x 13x 37

758:2x 379

203:7x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 121678019736/(1x4)

LCM = 121678019736/4

LCM = 30419504934

Thus, we can understand that the LCM of 822,962,758,203 is 30419504934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 962, 758, 203

1. What is the LCM of 822, 962, 758, 203?

Answer: LCM of 822, 962, 758, 203 is 30419504934.

2. How to calculate the LCM of 822, 962, 758, 203?

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, 962, 758, 203.

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}.