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LCM of 278, 835, 128, 709, 913

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


Find the LCM of 278, 835, 128, 709, 913 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 278, 835, 128, 709, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,835,128,709,913

Given numbers are 278,835,128,709,913

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

The LCM of 278,835,128,709,913 is 9616748493440.

Find LCM of 278,835,128,709,913 with Prime Factorization


2 278, 835, 128, 709, 913
139, 835, 64, 709, 913

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

2 x 139 x 835 x 64 x 709 x 913 = 9616748493440

Therefore, the lowest common multiple of 278,835,128,709,913 is 9616748493440.

LCM Formula to Find Lowest Common Multiple of 278,835,128,709,913

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.

278 x 835 x 128 x 709 x 913 = 19233496986880

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.

278 : 1, 2, 139, 278

835 : 1, 5, 167, 835

128 : 1, 2, 4, 8, 16, 32, 64, 128

709 : 1, 709

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,835,128,709,913, is 1.

Now, the common factors can be found like this.

278:2x 139

835:5x 167

128:2x 2x 2x 2x 2x 2x 2

709:709

913:11x 83

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 = 19233496986880/(1x2)

LCM = 19233496986880/2

LCM = 9616748493440

Thus, we can understand that the LCM of 278,835,128,709,913 is 9616748493440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 835, 128, 709, 913

1. What is the LCM of 278, 835, 128, 709, 913?

Answer: LCM of 278, 835, 128, 709, 913 is 9616748493440.

2. How to calculate the LCM of 278, 835, 128, 709, 913?

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 278, 835, 128, 709, 913.

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}.