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LCM of 921, 604, 755, 286

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


Find the LCM of 921, 604, 755, 286 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 921, 604, 755, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 921,604,755,286

Given numbers are 921,604,755,286

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

The LCM of 921,604,755,286 is 397743060.

Find LCM of 921,604,755,286 with Prime Factorization


2 921, 604, 755, 286
151 921, 302, 755, 143
921, 2, 5, 143

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

2 x 151 x 921 x 2 x 5 x 143 = 397743060

Therefore, the lowest common multiple of 921,604,755,286 is 397743060.

LCM Formula to Find Lowest Common Multiple of 921,604,755,286

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.

921 x 604 x 755 x 286 = 120118404120

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.

921 : 1, 3, 307, 921

604 : 1, 2, 4, 151, 302, 604

755 : 1, 5, 151, 755

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,604,755,286, is 1.

Now, the common factors can be found like this.

921:3x 307

604:2x 2x 151

755:5x 151

286:2x 11x 13

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

2x 151 = 302

Therefore, the value for common factors is 302.

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 = 120118404120/(1x302)

LCM = 120118404120/302

LCM = 397743060

Thus, we can understand that the LCM of 921,604,755,286 is 397743060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 921, 604, 755, 286

1. What is the LCM of 921, 604, 755, 286?

Answer: LCM of 921, 604, 755, 286 is 397743060.

2. How to calculate the LCM of 921, 604, 755, 286?

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 921, 604, 755, 286.

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}.