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LCM of 781, 896, 648, 959

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


Find the LCM of 781, 896, 648, 959 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 781, 896, 648, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,896,648,959

Given numbers are 781,896,648,959

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

The LCM of 781,896,648,959 is 7765414272.

Find LCM of 781,896,648,959 with Prime Factorization


2 781, 896, 648, 959
2 781, 448, 324, 959
2 781, 224, 162, 959
7 781, 112, 81, 959
781, 16, 81, 137

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

2 x 2 x 2 x 7 x 781 x 16 x 81 x 137 = 7765414272

Therefore, the lowest common multiple of 781,896,648,959 is 7765414272.

LCM Formula to Find Lowest Common Multiple of 781,896,648,959

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.

781 x 896 x 648 x 959 = 434863199232

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.

781 : 1, 11, 71, 781

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,896,648,959, is 1.

Now, the common factors can be found like this.

781:11x 71

896:2x 2x 2x 2x 2x 2x 2x 7

648:2x 2x 2x 3x 3x 3x 3

959:7x 137

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 7 = 56

Therefore, the value for common factors is 56.

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 = 434863199232/(1x56)

LCM = 434863199232/56

LCM = 7765414272

Thus, we can understand that the LCM of 781,896,648,959 is 7765414272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 896, 648, 959

1. What is the LCM of 781, 896, 648, 959?

Answer: LCM of 781, 896, 648, 959 is 7765414272.

2. How to calculate the LCM of 781, 896, 648, 959?

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 781, 896, 648, 959.

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}.