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LCM of 296, 527, 830, 738

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


Find the LCM of 296, 527, 830, 738 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, 527, 830, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,527,830,738

Given numbers are 296,527,830,738

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

The LCM of 296,527,830,738 is 23887834920.

Find LCM of 296,527,830,738 with Prime Factorization


2 296, 527, 830, 738
148, 527, 415, 369

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

2 x 148 x 527 x 415 x 369 = 23887834920

Therefore, the lowest common multiple of 296,527,830,738 is 23887834920.

LCM Formula to Find Lowest Common Multiple of 296,527,830,738

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 527 x 830 x 738 = 95551339680

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

527 : 1, 17, 31, 527

830 : 1, 2, 5, 10, 83, 166, 415, 830

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,527,830,738, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

527:17x 31

830:2x 5x 83

738:2x 3x 3x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 95551339680/(1x4)

LCM = 95551339680/4

LCM = 23887834920

Thus, we can understand that the LCM of 296,527,830,738 is 23887834920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 527, 830, 738

1. What is the LCM of 296, 527, 830, 738?

Answer: LCM of 296, 527, 830, 738 is 23887834920.

2. How to calculate the LCM of 296, 527, 830, 738?

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, 527, 830, 738.

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}.