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LCM of 899, 942, 314, 496

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


Find the LCM of 899, 942, 314, 496 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 899, 942, 314, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,942,314,496

Given numbers are 899,942,314,496

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

The LCM of 899,942,314,496 is 6774864.

Find LCM of 899,942,314,496 with Prime Factorization


2 899, 942, 314, 496
31 899, 471, 157, 248
157 29, 471, 157, 8
29, 3, 1, 8

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

2 x 31 x 157 x 29 x 3 x 1 x 8 = 6774864

Therefore, the lowest common multiple of 899,942,314,496 is 6774864.

LCM Formula to Find Lowest Common Multiple of 899,942,314,496

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.

899 x 942 x 314 x 496 = 131893052352

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.

899 : 1, 29, 31, 899

942 : 1, 2, 3, 6, 157, 314, 471, 942

314 : 1, 2, 157, 314

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,942,314,496, is 1.

Now, the common factors can be found like this.

899:29x 31

942:2x 3x 157

314:2x 157

496:2x 2x 2x 2x 31

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 31x 157 = 19468

Therefore, the value for common factors is 19468.

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 = 131893052352/(1x19468)

LCM = 131893052352/19468

LCM = 6774864

Thus, we can understand that the LCM of 899,942,314,496 is 6774864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 942, 314, 496

1. What is the LCM of 899, 942, 314, 496?

Answer: LCM of 899, 942, 314, 496 is 6774864.

2. How to calculate the LCM of 899, 942, 314, 496?

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 899, 942, 314, 496.

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}.