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LCM of 709, 440, 681, 737, 553

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


Find the LCM of 709, 440, 681, 737, 553 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 709, 440, 681, 737, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,440,681,737,553

Given numbers are 709,440,681,737,553

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

The LCM of 709,440,681,737,553 is 7871290802760.

Find LCM of 709,440,681,737,553 with Prime Factorization


11 709, 440, 681, 737, 553
709, 40, 681, 67, 553

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

11 x 709 x 40 x 681 x 67 x 553 = 7871290802760

Therefore, the lowest common multiple of 709,440,681,737,553 is 7871290802760.

LCM Formula to Find Lowest Common Multiple of 709,440,681,737,553

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.

709 x 440 x 681 x 737 x 553 = 86584198830360

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.

709 : 1, 709

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

681 : 1, 3, 227, 681

737 : 1, 11, 67, 737

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,440,681,737,553, is 1.

Now, the common factors can be found like this.

709:709

440:2x 2x 2x 5x 11

681:3x 227

737:11x 67

553:7x 79

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

11 = 11

Therefore, the value for common factors is 11.

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 = 86584198830360/(1x11)

LCM = 86584198830360/11

LCM = 7871290802760

Thus, we can understand that the LCM of 709,440,681,737,553 is 7871290802760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 440, 681, 737, 553

1. What is the LCM of 709, 440, 681, 737, 553?

Answer: LCM of 709, 440, 681, 737, 553 is 7871290802760.

2. How to calculate the LCM of 709, 440, 681, 737, 553?

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 709, 440, 681, 737, 553.

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}.