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LCM of 418, 820, 902, 918

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


Find the LCM of 418, 820, 902, 918 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 418, 820, 902, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,820,902,918

Given numbers are 418,820,902,918

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

The LCM of 418,820,902,918 is 78663420.

Find LCM of 418,820,902,918 with Prime Factorization


2 418, 820, 902, 918
11 209, 410, 451, 459
41 19, 410, 41, 459
19, 10, 1, 459

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

2 x 11 x 41 x 19 x 10 x 1 x 459 = 78663420

Therefore, the lowest common multiple of 418,820,902,918 is 78663420.

LCM Formula to Find Lowest Common Multiple of 418,820,902,918

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.

418 x 820 x 902 x 918 = 283817619360

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

902 : 1, 2, 11, 22, 41, 82, 451, 902

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,820,902,918, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

820:2x 2x 5x 41

902:2x 11x 41

918:2x 3x 3x 3x 17

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 11x 41 = 1804

Therefore, the value for common factors is 1804.

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 = 283817619360/(2x1804)

LCM = 283817619360/3608

LCM = 78663420

Thus, we can understand that the LCM of 418,820,902,918 is 78663420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 820, 902, 918

1. What is the LCM of 418, 820, 902, 918?

Answer: LCM of 418, 820, 902, 918 is 78663420.

2. How to calculate the LCM of 418, 820, 902, 918?

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 418, 820, 902, 918.

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}.