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LCM of 420, 663, 714, 707

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


Find the LCM of 420, 663, 714, 707 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 420, 663, 714, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,663,714,707

Given numbers are 420,663,714,707

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

The LCM of 420,663,714,707 is 9374820.

Find LCM of 420,663,714,707 with Prime Factorization


2 420, 663, 714, 707
3 210, 663, 357, 707
7 70, 221, 119, 707
17 10, 221, 17, 101
10, 13, 1, 101

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

2 x 3 x 7 x 17 x 10 x 13 x 1 x 101 = 9374820

Therefore, the lowest common multiple of 420,663,714,707 is 9374820.

LCM Formula to Find Lowest Common Multiple of 420,663,714,707

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.

420 x 663 x 714 x 707 = 140566051080

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

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

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,663,714,707, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

663:3x 13x 17

714:2x 3x 7x 17

707:7x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7x 17 = 14994

Therefore, the value for common factors is 14994.

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 = 140566051080/(1x14994)

LCM = 140566051080/14994

LCM = 9374820

Thus, we can understand that the LCM of 420,663,714,707 is 9374820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 663, 714, 707

1. What is the LCM of 420, 663, 714, 707?

Answer: LCM of 420, 663, 714, 707 is 9374820.

2. How to calculate the LCM of 420, 663, 714, 707?

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 420, 663, 714, 707.

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}.