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LCM of 776, 744, 844, 858

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


Find the LCM of 776, 744, 844, 858 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 776, 744, 844, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,744,844,858

Given numbers are 776,744,844,858

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

The LCM of 776,744,844,858 is 2177525064.

Find LCM of 776,744,844,858 with Prime Factorization


2 776, 744, 844, 858
2 388, 372, 422, 429
2 194, 186, 211, 429
3 97, 93, 211, 429
97, 31, 211, 143

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

2 x 2 x 2 x 3 x 97 x 31 x 211 x 143 = 2177525064

Therefore, the lowest common multiple of 776,744,844,858 is 2177525064.

LCM Formula to Find Lowest Common Multiple of 776,744,844,858

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.

776 x 744 x 844 x 858 = 418084812288

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

844 : 1, 2, 4, 211, 422, 844

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,744,844,858, is 2.

Now, the common factors can be found like this.

776:2x 2x 2x 97

744:2x 2x 2x 3x 31

844:2x 2x 211

858:2x 3x 11x 13

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 3 = 96

Therefore, the value for common factors is 96.

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 = 418084812288/(2x96)

LCM = 418084812288/192

LCM = 2177525064

Thus, we can understand that the LCM of 776,744,844,858 is 2177525064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 744, 844, 858

1. What is the LCM of 776, 744, 844, 858?

Answer: LCM of 776, 744, 844, 858 is 2177525064.

2. How to calculate the LCM of 776, 744, 844, 858?

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 776, 744, 844, 858.

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}.