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LCM of 338, 141, 971, 784

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


Find the LCM of 338, 141, 971, 784 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 338, 141, 971, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,141,971,784

Given numbers are 338,141,971,784

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

The LCM of 338,141,971,784 is 18140159856.

Find LCM of 338,141,971,784 with Prime Factorization


2 338, 141, 971, 784
169, 141, 971, 392

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

2 x 169 x 141 x 971 x 392 = 18140159856

Therefore, the lowest common multiple of 338,141,971,784 is 18140159856.

LCM Formula to Find Lowest Common Multiple of 338,141,971,784

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.

338 x 141 x 971 x 784 = 36280319712

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.

338 : 1, 2, 13, 26, 169, 338

141 : 1, 3, 47, 141

971 : 1, 971

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,141,971,784, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

141:3x 47

971:971

784:2x 2x 2x 2x 7x 7

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 = 36280319712/(1x2)

LCM = 36280319712/2

LCM = 18140159856

Thus, we can understand that the LCM of 338,141,971,784 is 18140159856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 141, 971, 784

1. What is the LCM of 338, 141, 971, 784?

Answer: LCM of 338, 141, 971, 784 is 18140159856.

2. How to calculate the LCM of 338, 141, 971, 784?

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 338, 141, 971, 784.

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}.