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LCM of 834, 890, 417, 148

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


Find the LCM of 834, 890, 417, 148 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, 890, 417, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,890,417,148

Given numbers are 834,890,417,148

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

The LCM of 834,890,417,148 is 27463620.

Find LCM of 834,890,417,148 with Prime Factorization


2 834, 890, 417, 148
3 417, 445, 417, 74
139 139, 445, 139, 74
1, 445, 1, 74

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

2 x 3 x 139 x 1 x 445 x 1 x 74 = 27463620

Therefore, the lowest common multiple of 834,890,417,148 is 27463620.

LCM Formula to Find Lowest Common Multiple of 834,890,417,148

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 890 x 417 x 148 = 45809318160

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

417 : 1, 3, 139, 417

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,890,417,148, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

890:2x 5x 89

417:3x 139

148:2x 2x 37

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 3x 139 = 1668

Therefore, the value for common factors is 1668.

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 = 45809318160/(1x1668)

LCM = 45809318160/1668

LCM = 27463620

Thus, we can understand that the LCM of 834,890,417,148 is 27463620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 890, 417, 148

1. What is the LCM of 834, 890, 417, 148?

Answer: LCM of 834, 890, 417, 148 is 27463620.

2. How to calculate the LCM of 834, 890, 417, 148?

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, 890, 417, 148.

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}.