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LCM of 685, 521, 787, 838, 784

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


Find the LCM of 685, 521, 787, 838, 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 685, 521, 787, 838, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,521,787,838,784

Given numbers are 685,521,787,838,784

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

The LCM of 685,521,787,838,784 is 92264177133520.

Find LCM of 685,521,787,838,784 with Prime Factorization


2 685, 521, 787, 838, 784
685, 521, 787, 419, 392

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

2 x 685 x 521 x 787 x 419 x 392 = 92264177133520

Therefore, the lowest common multiple of 685,521,787,838,784 is 92264177133520.

LCM Formula to Find Lowest Common Multiple of 685,521,787,838,784

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.

685 x 521 x 787 x 838 x 784 = 184528354267040

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.

685 : 1, 5, 137, 685

521 : 1, 521

787 : 1, 787

838 : 1, 2, 419, 838

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 685,521,787,838,784, is 1.

Now, the common factors can be found like this.

685:5x 137

521:521

787:787

838:2x 419

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 184528354267040/(1x2)

LCM = 184528354267040/2

LCM = 92264177133520

Thus, we can understand that the LCM of 685,521,787,838,784 is 92264177133520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 521, 787, 838, 784

1. What is the LCM of 685, 521, 787, 838, 784?

Answer: LCM of 685, 521, 787, 838, 784 is 92264177133520.

2. How to calculate the LCM of 685, 521, 787, 838, 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 685, 521, 787, 838, 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}.