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LCM of 280, 697, 610, 604, 523

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


Find the LCM of 280, 697, 610, 604, 523 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 280, 697, 610, 604, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,697,610,604,523

Given numbers are 280,697,610,604,523

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

The LCM of 280,697,610,604,523 is 940154611480.

Find LCM of 280,697,610,604,523 with Prime Factorization


2 280, 697, 610, 604, 523
2 140, 697, 305, 302, 523
5 70, 697, 305, 151, 523
14, 697, 61, 151, 523

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

2 x 2 x 5 x 14 x 697 x 61 x 151 x 523 = 940154611480

Therefore, the lowest common multiple of 280,697,610,604,523 is 940154611480.

LCM Formula to Find Lowest Common Multiple of 280,697,610,604,523

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.

280 x 697 x 610 x 604 x 523 = 37606184459200

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

697 : 1, 17, 41, 697

610 : 1, 2, 5, 10, 61, 122, 305, 610

604 : 1, 2, 4, 151, 302, 604

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,697,610,604,523, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

697:17x 41

610:2x 5x 61

604:2x 2x 151

523:523

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 5 = 40

Therefore, the value for common factors is 40.

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 = 37606184459200/(1x40)

LCM = 37606184459200/40

LCM = 940154611480

Thus, we can understand that the LCM of 280,697,610,604,523 is 940154611480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 697, 610, 604, 523

1. What is the LCM of 280, 697, 610, 604, 523?

Answer: LCM of 280, 697, 610, 604, 523 is 940154611480.

2. How to calculate the LCM of 280, 697, 610, 604, 523?

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 280, 697, 610, 604, 523.

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}.