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LCM of 152, 708, 646, 301

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


Find the LCM of 152, 708, 646, 301 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 152, 708, 646, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,708,646,301

Given numbers are 152,708,646,301

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

The LCM of 152,708,646,301 is 137667768.

Find LCM of 152,708,646,301 with Prime Factorization


2 152, 708, 646, 301
2 76, 354, 323, 301
19 38, 177, 323, 301
2, 177, 17, 301

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

2 x 2 x 19 x 2 x 177 x 17 x 301 = 137667768

Therefore, the lowest common multiple of 152,708,646,301 is 137667768.

LCM Formula to Find Lowest Common Multiple of 152,708,646,301

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.

152 x 708 x 646 x 301 = 20925500736

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.

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

646 : 1, 2, 17, 19, 34, 38, 323, 646

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,708,646,301, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

708:2x 2x 3x 59

646:2x 17x 19

301:7x 43

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 19 = 152

Therefore, the value for common factors is 152.

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 = 20925500736/(1x152)

LCM = 20925500736/152

LCM = 137667768

Thus, we can understand that the LCM of 152,708,646,301 is 137667768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 708, 646, 301

1. What is the LCM of 152, 708, 646, 301?

Answer: LCM of 152, 708, 646, 301 is 137667768.

2. How to calculate the LCM of 152, 708, 646, 301?

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 152, 708, 646, 301.

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}.