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LCM of 122, 841, 490, 406

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


Find the LCM of 122, 841, 490, 406 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 122, 841, 490, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 122,841,490,406

Given numbers are 122,841,490,406

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

The LCM of 122,841,490,406 is 25137490.

Find LCM of 122,841,490,406 with Prime Factorization


2 122, 841, 490, 406
7 61, 841, 245, 203
29 61, 841, 35, 29
61, 1, 35, 29

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

2 x 7 x 29 x 61 x 1 x 35 x 29 = 25137490

Therefore, the lowest common multiple of 122,841,490,406 is 25137490.

LCM Formula to Find Lowest Common Multiple of 122,841,490,406

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.

122 x 841 x 490 x 406 = 20411641880

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.

122 : 1, 2, 61, 122

841 : 1, 29, 841

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,841,490,406, is 1.

Now, the common factors can be found like this.

122:2x 61

841:29x 29

490:2x 5x 7x 7

406:2x 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 2x 7x 29 = 812

Therefore, the value for common factors is 812.

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 = 20411641880/(1x812)

LCM = 20411641880/812

LCM = 25137490

Thus, we can understand that the LCM of 122,841,490,406 is 25137490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 122, 841, 490, 406

1. What is the LCM of 122, 841, 490, 406?

Answer: LCM of 122, 841, 490, 406 is 25137490.

2. How to calculate the LCM of 122, 841, 490, 406?

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 122, 841, 490, 406.

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}.