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LCM of 742, 517, 700, 561

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


Find the LCM of 742, 517, 700, 561 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 742, 517, 700, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,517,700,561

Given numbers are 742,517,700,561

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

The LCM of 742,517,700,561 is 978215700.

Find LCM of 742,517,700,561 with Prime Factorization


2 742, 517, 700, 561
7 371, 517, 350, 561
11 53, 517, 50, 561
53, 47, 50, 51

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

2 x 7 x 11 x 53 x 47 x 50 x 51 = 978215700

Therefore, the lowest common multiple of 742,517,700,561 is 978215700.

LCM Formula to Find Lowest Common Multiple of 742,517,700,561

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.

742 x 517 x 700 x 561 = 150645217800

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

517 : 1, 11, 47, 517

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,517,700,561, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

517:11x 47

700:2x 2x 5x 5x 7

561:3x 11x 17

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 150645217800/(1x154)

LCM = 150645217800/154

LCM = 978215700

Thus, we can understand that the LCM of 742,517,700,561 is 978215700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 517, 700, 561

1. What is the LCM of 742, 517, 700, 561?

Answer: LCM of 742, 517, 700, 561 is 978215700.

2. How to calculate the LCM of 742, 517, 700, 561?

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 742, 517, 700, 561.

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}.