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LCM of 742, 153, 255, 986

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


Find the LCM of 742, 153, 255, 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 742, 153, 255, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,153,255,986

Given numbers are 742,153,255,986

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

The LCM of 742,153,255,986 is 16461270.

Find LCM of 742,153,255,986 with Prime Factorization


2 742, 153, 255, 986
3 371, 153, 255, 493
17 371, 51, 85, 493
371, 3, 5, 29

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

2 x 3 x 17 x 371 x 3 x 5 x 29 = 16461270

Therefore, the lowest common multiple of 742,153,255,986 is 16461270.

LCM Formula to Find Lowest Common Multiple of 742,153,255,986

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.

742 x 153 x 255 x 986 = 28543842180

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

153 : 1, 3, 9, 17, 51, 153

255 : 1, 3, 5, 15, 17, 51, 85, 255

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 742,153,255,986, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

153:3x 3x 17

255:3x 5x 17

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 3x 17x 17 = 1734

Therefore, the value for common factors is 1734.

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 = 28543842180/(1x1734)

LCM = 28543842180/1734

LCM = 16461270

Thus, we can understand that the LCM of 742,153,255,986 is 16461270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 153, 255, 986

1. What is the LCM of 742, 153, 255, 986?

Answer: LCM of 742, 153, 255, 986 is 16461270.

2. How to calculate the LCM of 742, 153, 255, 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 742, 153, 255, 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}.