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LCM of 834, 862, 440, 841, 906

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


Find the LCM of 834, 862, 440, 841, 906 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 834, 862, 440, 841, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,862,440,841,906

Given numbers are 834,862,440,841,906

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

The LCM of 834,862,440,841,906 is 10042433041080.

Find LCM of 834,862,440,841,906 with Prime Factorization


2 834, 862, 440, 841, 906
3 417, 431, 220, 841, 453
139, 431, 220, 841, 151

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

2 x 3 x 139 x 431 x 220 x 841 x 151 = 10042433041080

Therefore, the lowest common multiple of 834,862,440,841,906 is 10042433041080.

LCM Formula to Find Lowest Common Multiple of 834,862,440,841,906

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.

834 x 862 x 440 x 841 x 906 = 241018392985920

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

862 : 1, 2, 431, 862

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

841 : 1, 29, 841

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,862,440,841,906, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

862:2x 431

440:2x 2x 2x 5x 11

841:29x 29

906:2x 3x 151

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 3 = 24

Therefore, the value for common factors is 24.

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 = 241018392985920/(1x24)

LCM = 241018392985920/24

LCM = 10042433041080

Thus, we can understand that the LCM of 834,862,440,841,906 is 10042433041080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 862, 440, 841, 906

1. What is the LCM of 834, 862, 440, 841, 906?

Answer: LCM of 834, 862, 440, 841, 906 is 10042433041080.

2. How to calculate the LCM of 834, 862, 440, 841, 906?

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 834, 862, 440, 841, 906.

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}.