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LCM of 294, 709, 869, 333, 378

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


Find the LCM of 294, 709, 869, 333, 378 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 294, 709, 869, 333, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,709,869,333,378

Given numbers are 294,709,869,333,378

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

The LCM of 294,709,869,333,378 is 60319478142.

Find LCM of 294,709,869,333,378 with Prime Factorization


2 294, 709, 869, 333, 378
3 147, 709, 869, 333, 189
3 49, 709, 869, 111, 63
7 49, 709, 869, 37, 21
7, 709, 869, 37, 3

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

2 x 3 x 3 x 7 x 7 x 709 x 869 x 37 x 3 = 60319478142

Therefore, the lowest common multiple of 294,709,869,333,378 is 60319478142.

LCM Formula to Find Lowest Common Multiple of 294,709,869,333,378

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.

294 x 709 x 869 x 333 x 378 = 22800762737676

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

709 : 1, 709

869 : 1, 11, 79, 869

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,709,869,333,378, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

709:709

869:11x 79

333:3x 3x 37

378:2x 3x 3x 3x 7

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 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 22800762737676/(1x378)

LCM = 22800762737676/378

LCM = 60319478142

Thus, we can understand that the LCM of 294,709,869,333,378 is 60319478142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 709, 869, 333, 378

1. What is the LCM of 294, 709, 869, 333, 378?

Answer: LCM of 294, 709, 869, 333, 378 is 60319478142.

2. How to calculate the LCM of 294, 709, 869, 333, 378?

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 294, 709, 869, 333, 378.

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}.