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LCM of 856, 936, 749, 286, 556

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


Find the LCM of 856, 936, 749, 286, 556 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 856, 936, 749, 286, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,936,749,286,556

Given numbers are 856,936,749,286,556

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

The LCM of 856,936,749,286,556 is 1071926856.

Find LCM of 856,936,749,286,556 with Prime Factorization


2 856, 936, 749, 286, 556
2 428, 468, 749, 143, 278
2 214, 234, 749, 143, 139
13 107, 117, 749, 143, 139
107 107, 9, 749, 11, 139
1, 9, 7, 11, 139

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

2 x 2 x 2 x 13 x 107 x 1 x 9 x 7 x 11 x 139 = 1071926856

Therefore, the lowest common multiple of 856,936,749,286,556 is 1071926856.

LCM Formula to Find Lowest Common Multiple of 856,936,749,286,556

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.

856 x 936 x 749 x 286 x 556 = 95427216428544

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

749 : 1, 7, 107, 749

286 : 1, 2, 11, 13, 22, 26, 143, 286

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,936,749,286,556, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

936:2x 2x 2x 3x 3x 13

749:7x 107

286:2x 11x 13

556:2x 2x 139

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 2x 13x 107 = 89024

Therefore, the value for common factors is 89024.

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 = 95427216428544/(1x89024)

LCM = 95427216428544/89024

LCM = 1071926856

Thus, we can understand that the LCM of 856,936,749,286,556 is 1071926856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 936, 749, 286, 556

1. What is the LCM of 856, 936, 749, 286, 556?

Answer: LCM of 856, 936, 749, 286, 556 is 1071926856.

2. How to calculate the LCM of 856, 936, 749, 286, 556?

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 856, 936, 749, 286, 556.

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}.