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LCM of 560, 156, 414, 198, 749

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


Find the LCM of 560, 156, 414, 198, 749 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 560, 156, 414, 198, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,156,414,198,749

Given numbers are 560,156,414,198,749

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

The LCM of 560,156,414,198,749 is 1773691920.

Find LCM of 560,156,414,198,749 with Prime Factorization


2 560, 156, 414, 198, 749
2 280, 78, 207, 99, 749
3 140, 39, 207, 99, 749
3 140, 13, 69, 33, 749
7 140, 13, 23, 11, 749
20, 13, 23, 11, 107

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

2 x 2 x 3 x 3 x 7 x 20 x 13 x 23 x 11 x 107 = 1773691920

Therefore, the lowest common multiple of 560,156,414,198,749 is 1773691920.

LCM Formula to Find Lowest Common Multiple of 560,156,414,198,749

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.

560 x 156 x 414 x 198 x 749 = 5363644366080

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,156,414,198,749, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

156:2x 2x 3x 13

414:2x 3x 3x 23

198:2x 3x 3x 11

749:7x 107

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 2x 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 5363644366080/(1x3024)

LCM = 5363644366080/3024

LCM = 1773691920

Thus, we can understand that the LCM of 560,156,414,198,749 is 1773691920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 156, 414, 198, 749

1. What is the LCM of 560, 156, 414, 198, 749?

Answer: LCM of 560, 156, 414, 198, 749 is 1773691920.

2. How to calculate the LCM of 560, 156, 414, 198, 749?

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 560, 156, 414, 198, 749.

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}.