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LCM of 163, 715, 670, 491, 248

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


Find the LCM of 163, 715, 670, 491, 248 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 163, 715, 670, 491, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,715,670,491,248

Given numbers are 163,715,670,491,248

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

The LCM of 163,715,670,491,248 is 950827254520.

Find LCM of 163,715,670,491,248 with Prime Factorization


2 163, 715, 670, 491, 248
5 163, 715, 335, 491, 124
163, 143, 67, 491, 124

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

2 x 5 x 163 x 143 x 67 x 491 x 124 = 950827254520

Therefore, the lowest common multiple of 163,715,670,491,248 is 950827254520.

LCM Formula to Find Lowest Common Multiple of 163,715,670,491,248

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.

163 x 715 x 670 x 491 x 248 = 9508272545200

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.

163 : 1, 163

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

491 : 1, 491

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,715,670,491,248, is 1.

Now, the common factors can be found like this.

163:163

715:5x 11x 13

670:2x 5x 67

491:491

248:2x 2x 2x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 9508272545200/(1x10)

LCM = 9508272545200/10

LCM = 950827254520

Thus, we can understand that the LCM of 163,715,670,491,248 is 950827254520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 715, 670, 491, 248

1. What is the LCM of 163, 715, 670, 491, 248?

Answer: LCM of 163, 715, 670, 491, 248 is 950827254520.

2. How to calculate the LCM of 163, 715, 670, 491, 248?

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 163, 715, 670, 491, 248.

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}.