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LCM of 720, 714, 119, 418, 901

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


Find the LCM of 720, 714, 119, 418, 901 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 720, 714, 119, 418, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,714,119,418,901

Given numbers are 720,714,119,418,901

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

The LCM of 720,714,119,418,901 is 949077360.

Find LCM of 720,714,119,418,901 with Prime Factorization


2 720, 714, 119, 418, 901
3 360, 357, 119, 209, 901
7 120, 119, 119, 209, 901
17 120, 17, 17, 209, 901
120, 1, 1, 209, 53

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

2 x 3 x 7 x 17 x 120 x 1 x 1 x 209 x 53 = 949077360

Therefore, the lowest common multiple of 720,714,119,418,901 is 949077360.

LCM Formula to Find Lowest Common Multiple of 720,714,119,418,901

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.

720 x 714 x 119 x 418 x 901 = 23039801991360

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

119 : 1, 7, 17, 119

418 : 1, 2, 11, 19, 22, 38, 209, 418

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,714,119,418,901, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

714:2x 3x 7x 17

119:7x 17

418:2x 11x 19

901:17x 53

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 7x 17x 17 = 24276

Therefore, the value for common factors is 24276.

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 = 23039801991360/(1x24276)

LCM = 23039801991360/24276

LCM = 949077360

Thus, we can understand that the LCM of 720,714,119,418,901 is 949077360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 714, 119, 418, 901

1. What is the LCM of 720, 714, 119, 418, 901?

Answer: LCM of 720, 714, 119, 418, 901 is 949077360.

2. How to calculate the LCM of 720, 714, 119, 418, 901?

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 720, 714, 119, 418, 901.

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}.