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LCM of 655, 289, 754, 355, 980

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


Find the LCM of 655, 289, 754, 355, 980 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 655, 289, 754, 355, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 655,289,754,355,980

Given numbers are 655,289,754,355,980

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

The LCM of 655,289,754,355,980 is 993104415940.

Find LCM of 655,289,754,355,980 with Prime Factorization


2 655, 289, 754, 355, 980
5 655, 289, 377, 355, 490
131, 289, 377, 71, 98

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

2 x 5 x 131 x 289 x 377 x 71 x 98 = 993104415940

Therefore, the lowest common multiple of 655,289,754,355,980 is 993104415940.

LCM Formula to Find Lowest Common Multiple of 655,289,754,355,980

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.

655 x 289 x 754 x 355 x 980 = 49655220797000

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.

655 : 1, 5, 131, 655

289 : 1, 17, 289

754 : 1, 2, 13, 26, 29, 58, 377, 754

355 : 1, 5, 71, 355

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,289,754,355,980, is 1.

Now, the common factors can be found like this.

655:5x 131

289:17x 17

754:2x 13x 29

355:5x 71

980:2x 2x 5x 7x 7

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 49655220797000/(1x50)

LCM = 49655220797000/50

LCM = 993104415940

Thus, we can understand that the LCM of 655,289,754,355,980 is 993104415940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 655, 289, 754, 355, 980

1. What is the LCM of 655, 289, 754, 355, 980?

Answer: LCM of 655, 289, 754, 355, 980 is 993104415940.

2. How to calculate the LCM of 655, 289, 754, 355, 980?

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 655, 289, 754, 355, 980.

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}.