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LCM of 749, 598, 260, 656

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


Find the LCM of 749, 598, 260, 656 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, 598, 260, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,598,260,656

Given numbers are 749,598,260,656

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

The LCM of 749,598,260,656 is 734559280.

Find LCM of 749,598,260,656 with Prime Factorization


2 749, 598, 260, 656
2 749, 299, 130, 328
13 749, 299, 65, 164
749, 23, 5, 164

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

2 x 2 x 13 x 749 x 23 x 5 x 164 = 734559280

Therefore, the lowest common multiple of 749,598,260,656 is 734559280.

LCM Formula to Find Lowest Common Multiple of 749,598,260,656

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 598 x 260 x 656 = 76394165120

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,598,260,656, is 1.

Now, the common factors can be found like this.

749:7x 107

598:2x 13x 23

260:2x 2x 5x 13

656:2x 2x 2x 2x 41

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 13 = 104

Therefore, the value for common factors is 104.

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 = 76394165120/(1x104)

LCM = 76394165120/104

LCM = 734559280

Thus, we can understand that the LCM of 749,598,260,656 is 734559280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 598, 260, 656

1. What is the LCM of 749, 598, 260, 656?

Answer: LCM of 749, 598, 260, 656 is 734559280.

2. How to calculate the LCM of 749, 598, 260, 656?

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, 598, 260, 656.

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}.