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LCM of 648, 319, 451, 428, 967

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


Find the LCM of 648, 319, 451, 428, 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 648, 319, 451, 428, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,319,451,428,967

Given numbers are 648,319,451,428,967

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

The LCM of 648,319,451,428,967 is 876919641048.

Find LCM of 648,319,451,428,967 with Prime Factorization


2 648, 319, 451, 428, 967
2 324, 319, 451, 214, 967
11 162, 319, 451, 107, 967
162, 29, 41, 107, 967

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

2 x 2 x 11 x 162 x 29 x 41 x 107 x 967 = 876919641048

Therefore, the lowest common multiple of 648,319,451,428,967 is 876919641048.

LCM Formula to Find Lowest Common Multiple of 648,319,451,428,967

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.

648 x 319 x 451 x 428 x 967 = 38584464206112

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

319 : 1, 11, 29, 319

451 : 1, 11, 41, 451

428 : 1, 2, 4, 107, 214, 428

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,319,451,428,967, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

319:11x 29

451:11x 41

428:2x 2x 107

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.

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 38584464206112/(1x44)

LCM = 38584464206112/44

LCM = 876919641048

Thus, we can understand that the LCM of 648,319,451,428,967 is 876919641048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 319, 451, 428, 967

1. What is the LCM of 648, 319, 451, 428, 967?

Answer: LCM of 648, 319, 451, 428, 967 is 876919641048.

2. How to calculate the LCM of 648, 319, 451, 428, 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 648, 319, 451, 428, 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}.