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LCM of 934, 216, 524, 217, 770

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


Find the LCM of 934, 216, 524, 217, 770 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 934, 216, 524, 217, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,216,524,217,770

Given numbers are 934,216,524,217,770

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

The LCM of 934,216,524,217,770 is 157711858920.

Find LCM of 934,216,524,217,770 with Prime Factorization


2 934, 216, 524, 217, 770
2 467, 108, 262, 217, 385
7 467, 54, 131, 217, 385
467, 54, 131, 31, 55

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

2 x 2 x 7 x 467 x 54 x 131 x 31 x 55 = 157711858920

Therefore, the lowest common multiple of 934,216,524,217,770 is 157711858920.

LCM Formula to Find Lowest Common Multiple of 934,216,524,217,770

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.

934 x 216 x 524 x 217 x 770 = 17663728199040

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.

934 : 1, 2, 467, 934

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

524 : 1, 2, 4, 131, 262, 524

217 : 1, 7, 31, 217

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,216,524,217,770, is 1.

Now, the common factors can be found like this.

934:2x 467

216:2x 2x 2x 3x 3x 3

524:2x 2x 131

217:7x 31

770:2x 5x 7x 11

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

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 17663728199040/(1x112)

LCM = 17663728199040/112

LCM = 157711858920

Thus, we can understand that the LCM of 934,216,524,217,770 is 157711858920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 216, 524, 217, 770

1. What is the LCM of 934, 216, 524, 217, 770?

Answer: LCM of 934, 216, 524, 217, 770 is 157711858920.

2. How to calculate the LCM of 934, 216, 524, 217, 770?

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 934, 216, 524, 217, 770.

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}.