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LCM of 154, 780, 466, 886, 723

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


Find the LCM of 154, 780, 466, 886, 723 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 154, 780, 466, 886, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,780,466,886,723

Given numbers are 154,780,466,886,723

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

The LCM of 154,780,466,886,723 is 1494039286740.

Find LCM of 154,780,466,886,723 with Prime Factorization


2 154, 780, 466, 886, 723
3 77, 390, 233, 443, 723
77, 130, 233, 443, 241

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

2 x 3 x 77 x 130 x 233 x 443 x 241 = 1494039286740

Therefore, the lowest common multiple of 154,780,466,886,723 is 1494039286740.

LCM Formula to Find Lowest Common Multiple of 154,780,466,886,723

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.

154 x 780 x 466 x 886 x 723 = 35856942881760

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

466 : 1, 2, 233, 466

886 : 1, 2, 443, 886

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,780,466,886,723, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

780:2x 2x 3x 5x 13

466:2x 233

886:2x 443

723:3x 241

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 = 35856942881760/(1x24)

LCM = 35856942881760/24

LCM = 1494039286740

Thus, we can understand that the LCM of 154,780,466,886,723 is 1494039286740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 780, 466, 886, 723

1. What is the LCM of 154, 780, 466, 886, 723?

Answer: LCM of 154, 780, 466, 886, 723 is 1494039286740.

2. How to calculate the LCM of 154, 780, 466, 886, 723?

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 154, 780, 466, 886, 723.

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}.