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LCM of 296, 159, 999, 670

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


Find the LCM of 296, 159, 999, 670 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 296, 159, 999, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,159,999,670

Given numbers are 296,159,999,670

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

The LCM of 296,159,999,670 is 141897960.

Find LCM of 296,159,999,670 with Prime Factorization


2 296, 159, 999, 670
3 148, 159, 999, 335
37 148, 53, 333, 335
4, 53, 9, 335

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

2 x 3 x 37 x 4 x 53 x 9 x 335 = 141897960

Therefore, the lowest common multiple of 296,159,999,670 is 141897960.

LCM Formula to Find Lowest Common Multiple of 296,159,999,670

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.

296 x 159 x 999 x 670 = 31501347120

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

159 : 1, 3, 53, 159

999 : 1, 3, 9, 27, 37, 111, 333, 999

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,159,999,670, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

159:3x 53

999:3x 3x 3x 37

670:2x 5x 67

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 37 = 222

Therefore, the value for common factors is 222.

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 = 31501347120/(1x222)

LCM = 31501347120/222

LCM = 141897960

Thus, we can understand that the LCM of 296,159,999,670 is 141897960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 159, 999, 670

1. What is the LCM of 296, 159, 999, 670?

Answer: LCM of 296, 159, 999, 670 is 141897960.

2. How to calculate the LCM of 296, 159, 999, 670?

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 296, 159, 999, 670.

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}.