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LCM of 946, 286, 786, 882

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


Find the LCM of 946, 286, 786, 882 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 946, 286, 786, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,286,786,882

Given numbers are 946,286,786,882

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

The LCM of 946,286,786,882 is 710467758.

Find LCM of 946,286,786,882 with Prime Factorization


2 946, 286, 786, 882
3 473, 143, 393, 441
11 473, 143, 131, 147
43, 13, 131, 147

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

2 x 3 x 11 x 43 x 13 x 131 x 147 = 710467758

Therefore, the lowest common multiple of 946,286,786,882 is 710467758.

LCM Formula to Find Lowest Common Multiple of 946,286,786,882

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.

946 x 286 x 786 x 882 = 187563488112

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,286,786,882, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

286:2x 11x 13

786:2x 3x 131

882:2x 3x 3x 7x 7

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 187563488112/(2x132)

LCM = 187563488112/264

LCM = 710467758

Thus, we can understand that the LCM of 946,286,786,882 is 710467758.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 286, 786, 882

1. What is the LCM of 946, 286, 786, 882?

Answer: LCM of 946, 286, 786, 882 is 710467758.

2. How to calculate the LCM of 946, 286, 786, 882?

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 946, 286, 786, 882.

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}.