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LCM of 654, 344, 986, 969, 152

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


Find the LCM of 654, 344, 986, 969, 152 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 654, 344, 986, 969, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,344,986,969,152

Given numbers are 654,344,986,969,152

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

The LCM of 654,344,986,969,152 is 1053675096.

Find LCM of 654,344,986,969,152 with Prime Factorization


2 654, 344, 986, 969, 152
2 327, 172, 493, 969, 76
2 327, 86, 493, 969, 38
3 327, 43, 493, 969, 19
17 109, 43, 493, 323, 19
19 109, 43, 29, 19, 19
109, 43, 29, 1, 1

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

2 x 2 x 2 x 3 x 17 x 19 x 109 x 43 x 29 x 1 x 1 = 1053675096

Therefore, the lowest common multiple of 654,344,986,969,152 is 1053675096.

LCM Formula to Find Lowest Common Multiple of 654,344,986,969,152

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.

654 x 344 x 986 x 969 x 152 = 32672357376768

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,344,986,969,152, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

344:2x 2x 2x 43

986:2x 17x 29

969:3x 17x 19

152:2x 2x 2x 19

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 2x 2x 2x 3x 17x 19 = 31008

Therefore, the value for common factors is 31008.

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 = 32672357376768/(1x31008)

LCM = 32672357376768/31008

LCM = 1053675096

Thus, we can understand that the LCM of 654,344,986,969,152 is 1053675096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 344, 986, 969, 152

1. What is the LCM of 654, 344, 986, 969, 152?

Answer: LCM of 654, 344, 986, 969, 152 is 1053675096.

2. How to calculate the LCM of 654, 344, 986, 969, 152?

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 654, 344, 986, 969, 152.

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}.