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LCM of 630, 597, 551, 741, 143

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


Find the LCM of 630, 597, 551, 741, 143 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, 597, 551, 741, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,597,551,741,143

Given numbers are 630,597,551,741,143

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

The LCM of 630,597,551,741,143 is 9878278410.

Find LCM of 630,597,551,741,143 with Prime Factorization


3 630, 597, 551, 741, 143
13 210, 199, 551, 247, 143
19 210, 199, 551, 19, 11
210, 199, 29, 1, 11

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

3 x 13 x 19 x 210 x 199 x 29 x 1 x 11 = 9878278410

Therefore, the lowest common multiple of 630,597,551,741,143 is 9878278410.

LCM Formula to Find Lowest Common Multiple of 630,597,551,741,143

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 597 x 551 x 741 x 143 = 21959412905430

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

597 : 1, 3, 199, 597

551 : 1, 19, 29, 551

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

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,597,551,741,143, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

597:3x 199

551:19x 29

741:3x 13x 19

143:11x 13

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

3x 3x 13x 19 = 2223

Therefore, the value for common factors is 2223.

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 = 21959412905430/(1x2223)

LCM = 21959412905430/2223

LCM = 9878278410

Thus, we can understand that the LCM of 630,597,551,741,143 is 9878278410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 597, 551, 741, 143

1. What is the LCM of 630, 597, 551, 741, 143?

Answer: LCM of 630, 597, 551, 741, 143 is 9878278410.

2. How to calculate the LCM of 630, 597, 551, 741, 143?

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, 597, 551, 741, 143.

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}.