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LCM of 182, 714, 663, 972

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


Find the LCM of 182, 714, 663, 972 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 182, 714, 663, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,714,663,972

Given numbers are 182,714,663,972

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

The LCM of 182,714,663,972 is 1503684.

Find LCM of 182,714,663,972 with Prime Factorization


2 182, 714, 663, 972
3 91, 357, 663, 486
7 91, 119, 221, 162
13 13, 17, 221, 162
17 1, 17, 17, 162
1, 1, 1, 162

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

2 x 3 x 7 x 13 x 17 x 1 x 1 x 1 x 162 = 1503684

Therefore, the lowest common multiple of 182,714,663,972 is 1503684.

LCM Formula to Find Lowest Common Multiple of 182,714,663,972

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.

182 x 714 x 663 x 972 = 83743169328

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

663 : 1, 3, 13, 17, 39, 51, 221, 663

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,714,663,972, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

714:2x 3x 7x 17

663:3x 13x 17

972:2x 2x 3x 3x 3x 3x 3

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 3x 7x 13x 17 = 55692

Therefore, the value for common factors is 55692.

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 = 83743169328/(1x55692)

LCM = 83743169328/55692

LCM = 1503684

Thus, we can understand that the LCM of 182,714,663,972 is 1503684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 714, 663, 972

1. What is the LCM of 182, 714, 663, 972?

Answer: LCM of 182, 714, 663, 972 is 1503684.

2. How to calculate the LCM of 182, 714, 663, 972?

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 182, 714, 663, 972.

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}.