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LCM of 508, 565, 605, 805, 967

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


Find the LCM of 508, 565, 605, 805, 967 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 508, 565, 605, 805, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,565,605,805,967

Given numbers are 508,565,605,805,967

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

The LCM of 508,565,605,805,967 is 5406919211540.

Find LCM of 508,565,605,805,967 with Prime Factorization


5 508, 565, 605, 805, 967
508, 113, 121, 161, 967

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

5 x 508 x 113 x 121 x 161 x 967 = 5406919211540

Therefore, the lowest common multiple of 508,565,605,805,967 is 5406919211540.

LCM Formula to Find Lowest Common Multiple of 508,565,605,805,967

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.

508 x 565 x 605 x 805 x 967 = 135172980288500

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.

508 : 1, 2, 4, 127, 254, 508

565 : 1, 5, 113, 565

605 : 1, 5, 11, 55, 121, 605

805 : 1, 5, 7, 23, 35, 115, 161, 805

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,565,605,805,967, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

565:5x 113

605:5x 11x 11

805:5x 7x 23

967:967

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 135172980288500/(1x25)

LCM = 135172980288500/25

LCM = 5406919211540

Thus, we can understand that the LCM of 508,565,605,805,967 is 5406919211540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 565, 605, 805, 967

1. What is the LCM of 508, 565, 605, 805, 967?

Answer: LCM of 508, 565, 605, 805, 967 is 5406919211540.

2. How to calculate the LCM of 508, 565, 605, 805, 967?

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 508, 565, 605, 805, 967.

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}.