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LCM of 326, 485, 781, 708

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


Find the LCM of 326, 485, 781, 708 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 326, 485, 781, 708. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,485,781,708

Given numbers are 326,485,781,708

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

The LCM of 326,485,781,708 is 43713304140.

Find LCM of 326,485,781,708 with Prime Factorization


2 326, 485, 781, 708
163, 485, 781, 354

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

2 x 163 x 485 x 781 x 354 = 43713304140

Therefore, the lowest common multiple of 326,485,781,708 is 43713304140.

LCM Formula to Find Lowest Common Multiple of 326,485,781,708

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.

326 x 485 x 781 x 708 = 87426608280

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.

326 : 1, 2, 163, 326

485 : 1, 5, 97, 485

781 : 1, 11, 71, 781

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,485,781,708, is 1.

Now, the common factors can be found like this.

326:2x 163

485:5x 97

781:11x 71

708:2x 2x 3x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 87426608280/(1x2)

LCM = 87426608280/2

LCM = 43713304140

Thus, we can understand that the LCM of 326,485,781,708 is 43713304140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 485, 781, 708

1. What is the LCM of 326, 485, 781, 708?

Answer: LCM of 326, 485, 781, 708 is 43713304140.

2. How to calculate the LCM of 326, 485, 781, 708?

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 326, 485, 781, 708.

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}.