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LCM of 467, 683, 726, 850, 769

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


Find the LCM of 467, 683, 726, 850, 769 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 467, 683, 726, 850, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,683,726,850,769

Given numbers are 467,683,726,850,769

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

The LCM of 467,683,726,850,769 is 75681455326950.

Find LCM of 467,683,726,850,769 with Prime Factorization


2 467, 683, 726, 850, 769
467, 683, 363, 425, 769

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

2 x 467 x 683 x 363 x 425 x 769 = 75681455326950

Therefore, the lowest common multiple of 467,683,726,850,769 is 75681455326950.

LCM Formula to Find Lowest Common Multiple of 467,683,726,850,769

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.

467 x 683 x 726 x 850 x 769 = 151362910653900

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.

467 : 1, 467

683 : 1, 683

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,683,726,850,769, is 1.

Now, the common factors can be found like this.

467:467

683:683

726:2x 3x 11x 11

850:2x 5x 5x 17

769:769

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 151362910653900/(1x2)

LCM = 151362910653900/2

LCM = 75681455326950

Thus, we can understand that the LCM of 467,683,726,850,769 is 75681455326950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 683, 726, 850, 769

1. What is the LCM of 467, 683, 726, 850, 769?

Answer: LCM of 467, 683, 726, 850, 769 is 75681455326950.

2. How to calculate the LCM of 467, 683, 726, 850, 769?

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 467, 683, 726, 850, 769.

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}.