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LCM of 148, 614, 986, 203

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


Find the LCM of 148, 614, 986, 203 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 148, 614, 986, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,614,986,203

Given numbers are 148,614,986,203

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

The LCM of 148,614,986,203 is 156799636.

Find LCM of 148,614,986,203 with Prime Factorization


2 148, 614, 986, 203
29 74, 307, 493, 203
74, 307, 17, 7

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

2 x 29 x 74 x 307 x 17 x 7 = 156799636

Therefore, the lowest common multiple of 148,614,986,203 is 156799636.

LCM Formula to Find Lowest Common Multiple of 148,614,986,203

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.

148 x 614 x 986 x 203 = 18188757776

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.

148 : 1, 2, 4, 37, 74, 148

614 : 1, 2, 307, 614

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

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,614,986,203, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

614:2x 307

986:2x 17x 29

203:7x 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 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 18188757776/(1x116)

LCM = 18188757776/116

LCM = 156799636

Thus, we can understand that the LCM of 148,614,986,203 is 156799636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 614, 986, 203

1. What is the LCM of 148, 614, 986, 203?

Answer: LCM of 148, 614, 986, 203 is 156799636.

2. How to calculate the LCM of 148, 614, 986, 203?

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 148, 614, 986, 203.

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}.