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LCM of 473, 898, 473, 756

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


Find the LCM of 473, 898, 473, 756 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 473, 898, 473, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,898,473,756

Given numbers are 473,898,473,756

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

The LCM of 473,898,473,756 is 160557012.

Find LCM of 473,898,473,756 with Prime Factorization


2 473, 898, 473, 756
11 473, 449, 473, 378
43 43, 449, 43, 378
1, 449, 1, 378

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

2 x 11 x 43 x 1 x 449 x 1 x 378 = 160557012

Therefore, the lowest common multiple of 473,898,473,756 is 160557012.

LCM Formula to Find Lowest Common Multiple of 473,898,473,756

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.

473 x 898 x 473 x 756 = 151886933352

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.

473 : 1, 11, 43, 473

898 : 1, 2, 449, 898

473 : 1, 11, 43, 473

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,898,473,756, is 1.

Now, the common factors can be found like this.

473:11x 43

898:2x 449

473:11x 43

756:2x 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 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 151886933352/(1x946)

LCM = 151886933352/946

LCM = 160557012

Thus, we can understand that the LCM of 473,898,473,756 is 160557012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 898, 473, 756

1. What is the LCM of 473, 898, 473, 756?

Answer: LCM of 473, 898, 473, 756 is 160557012.

2. How to calculate the LCM of 473, 898, 473, 756?

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 473, 898, 473, 756.

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}.