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LCM of 630, 642, 741, 860

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


Find the LCM of 630, 642, 741, 860 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 630, 642, 741, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,642,741,860

Given numbers are 630,642,741,860

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

The LCM of 630,642,741,860 is 1431923220.

Find LCM of 630,642,741,860 with Prime Factorization


2 630, 642, 741, 860
3 315, 321, 741, 430
5 105, 107, 247, 430
21, 107, 247, 86

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

2 x 3 x 5 x 21 x 107 x 247 x 86 = 1431923220

Therefore, the lowest common multiple of 630,642,741,860 is 1431923220.

LCM Formula to Find Lowest Common Multiple of 630,642,741,860

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.

630 x 642 x 741 x 860 = 257746179600

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

642 : 1, 2, 3, 6, 107, 214, 321, 642

741 : 1, 3, 13, 19, 39, 57, 247, 741

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,642,741,860, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

642:2x 3x 107

741:3x 13x 19

860:2x 2x 5x 43

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 5 = 180

Therefore, the value for common factors is 180.

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 = 257746179600/(1x180)

LCM = 257746179600/180

LCM = 1431923220

Thus, we can understand that the LCM of 630,642,741,860 is 1431923220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 642, 741, 860

1. What is the LCM of 630, 642, 741, 860?

Answer: LCM of 630, 642, 741, 860 is 1431923220.

2. How to calculate the LCM of 630, 642, 741, 860?

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 630, 642, 741, 860.

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}.