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LCM of 835, 814, 372, 778

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


Find the LCM of 835, 814, 372, 778 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 835, 814, 372, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,814,372,778

Given numbers are 835,814,372,778

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

The LCM of 835,814,372,778 is 49178290260.

Find LCM of 835,814,372,778 with Prime Factorization


2 835, 814, 372, 778
835, 407, 186, 389

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

2 x 835 x 407 x 186 x 389 = 49178290260

Therefore, the lowest common multiple of 835,814,372,778 is 49178290260.

LCM Formula to Find Lowest Common Multiple of 835,814,372,778

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.

835 x 814 x 372 x 778 = 196713161040

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.

835 : 1, 5, 167, 835

814 : 1, 2, 11, 22, 37, 74, 407, 814

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,814,372,778, is 1.

Now, the common factors can be found like this.

835:5x 167

814:2x 11x 37

372:2x 2x 3x 31

778:2x 389

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 196713161040/(1x4)

LCM = 196713161040/4

LCM = 49178290260

Thus, we can understand that the LCM of 835,814,372,778 is 49178290260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 814, 372, 778

1. What is the LCM of 835, 814, 372, 778?

Answer: LCM of 835, 814, 372, 778 is 49178290260.

2. How to calculate the LCM of 835, 814, 372, 778?

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 835, 814, 372, 778.

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}.