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LCM of 632, 471, 841, 986

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


Find the LCM of 632, 471, 841, 986 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 632, 471, 841, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,471,841,986

Given numbers are 632,471,841,986

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

The LCM of 632,471,841,986 is 4255816584.

Find LCM of 632,471,841,986 with Prime Factorization


2 632, 471, 841, 986
29 316, 471, 841, 493
316, 471, 29, 17

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

2 x 29 x 316 x 471 x 29 x 17 = 4255816584

Therefore, the lowest common multiple of 632,471,841,986 is 4255816584.

LCM Formula to Find Lowest Common Multiple of 632,471,841,986

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.

632 x 471 x 841 x 986 = 246837361872

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

471 : 1, 3, 157, 471

841 : 1, 29, 841

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,471,841,986, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

471:3x 157

841:29x 29

986:2x 17x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 246837361872/(1x58)

LCM = 246837361872/58

LCM = 4255816584

Thus, we can understand that the LCM of 632,471,841,986 is 4255816584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 471, 841, 986

1. What is the LCM of 632, 471, 841, 986?

Answer: LCM of 632, 471, 841, 986 is 4255816584.

2. How to calculate the LCM of 632, 471, 841, 986?

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 632, 471, 841, 986.

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}.