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LCM of 560, 149, 982, 784

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


Find the LCM of 560, 149, 982, 784 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, 149, 982, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,149,982,784

Given numbers are 560,149,982,784

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

The LCM of 560,149,982,784 is 286783280.

Find LCM of 560,149,982,784 with Prime Factorization


2 560, 149, 982, 784
2 280, 149, 491, 392
2 140, 149, 491, 196
2 70, 149, 491, 98
7 35, 149, 491, 49
5, 149, 491, 7

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

2 x 2 x 2 x 2 x 7 x 5 x 149 x 491 x 7 = 286783280

Therefore, the lowest common multiple of 560,149,982,784 is 286783280.

LCM Formula to Find Lowest Common Multiple of 560,149,982,784

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 149 x 982 x 784 = 64239454720

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

149 : 1, 149

982 : 1, 2, 491, 982

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,149,982,784, is 1.

Now, the common factors can be found like this.

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

149:149

982:2x 491

784:2x 2x 2x 2x 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 2x 2x 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 64239454720/(1x224)

LCM = 64239454720/224

LCM = 286783280

Thus, we can understand that the LCM of 560,149,982,784 is 286783280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 149, 982, 784

1. What is the LCM of 560, 149, 982, 784?

Answer: LCM of 560, 149, 982, 784 is 286783280.

2. How to calculate the LCM of 560, 149, 982, 784?

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, 149, 982, 784.

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}.