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LCM of 934, 748, 429, 476

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


Find the LCM of 934, 748, 429, 476 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, 748, 429, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,748,429,476

Given numbers are 934,748,429,476

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

The LCM of 934,748,429,476 is 95363268.

Find LCM of 934,748,429,476 with Prime Factorization


2 934, 748, 429, 476
2 467, 374, 429, 238
11 467, 187, 429, 119
17 467, 17, 39, 119
467, 1, 39, 7

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

2 x 2 x 11 x 17 x 467 x 1 x 39 x 7 = 95363268

Therefore, the lowest common multiple of 934,748,429,476 is 95363268.

LCM Formula to Find Lowest Common Multiple of 934,748,429,476

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 748 x 429 x 476 = 142663448928

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

429 : 1, 3, 11, 13, 33, 39, 143, 429

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,748,429,476, is 1.

Now, the common factors can be found like this.

934:2x 467

748:2x 2x 11x 17

429:3x 11x 13

476:2x 2x 7x 17

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 142663448928/(1x1496)

LCM = 142663448928/1496

LCM = 95363268

Thus, we can understand that the LCM of 934,748,429,476 is 95363268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 748, 429, 476

1. What is the LCM of 934, 748, 429, 476?

Answer: LCM of 934, 748, 429, 476 is 95363268.

2. How to calculate the LCM of 934, 748, 429, 476?

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, 748, 429, 476.

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}.