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LCM of 749, 221, 448, 781

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


Find the LCM of 749, 221, 448, 781 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 749, 221, 448, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,221,448,781

Given numbers are 749,221,448,781

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

The LCM of 749,221,448,781 is 8273801536.

Find LCM of 749,221,448,781 with Prime Factorization


7 749, 221, 448, 781
107, 221, 64, 781

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

7 x 107 x 221 x 64 x 781 = 8273801536

Therefore, the lowest common multiple of 749,221,448,781 is 8273801536.

LCM Formula to Find Lowest Common Multiple of 749,221,448,781

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.

749 x 221 x 448 x 781 = 57916610752

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.

749 : 1, 7, 107, 749

221 : 1, 13, 17, 221

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,221,448,781, is 1.

Now, the common factors can be found like this.

749:7x 107

221:13x 17

448:2x 2x 2x 2x 2x 2x 7

781:11x 71

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

7 = 7

Therefore, the value for common factors is 7.

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 = 57916610752/(1x7)

LCM = 57916610752/7

LCM = 8273801536

Thus, we can understand that the LCM of 749,221,448,781 is 8273801536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 221, 448, 781

1. What is the LCM of 749, 221, 448, 781?

Answer: LCM of 749, 221, 448, 781 is 8273801536.

2. How to calculate the LCM of 749, 221, 448, 781?

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 749, 221, 448, 781.

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}.