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LCM of 355, 749, 516, 840, 887

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


Find the LCM of 355, 749, 516, 840, 887 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 355, 749, 516, 840, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,749,516,840,887

Given numbers are 355,749,516,840,887

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

The LCM of 355,749,516,840,887 is 243396028680.

Find LCM of 355,749,516,840,887 with Prime Factorization


2 355, 749, 516, 840, 887
2 355, 749, 258, 420, 887
3 355, 749, 129, 210, 887
5 355, 749, 43, 70, 887
7 71, 749, 43, 14, 887
71, 107, 43, 2, 887

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

2 x 2 x 3 x 5 x 7 x 71 x 107 x 43 x 2 x 887 = 243396028680

Therefore, the lowest common multiple of 355,749,516,840,887 is 243396028680.

LCM Formula to Find Lowest Common Multiple of 355,749,516,840,887

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.

355 x 749 x 516 x 840 x 887 = 102226332045600

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.

355 : 1, 5, 71, 355

749 : 1, 7, 107, 749

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,749,516,840,887, is 1.

Now, the common factors can be found like this.

355:5x 71

749:7x 107

516:2x 2x 3x 43

840:2x 2x 2x 3x 5x 7

887:887

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 3x 5x 7 = 420

Therefore, the value for common factors is 420.

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 = 102226332045600/(1x420)

LCM = 102226332045600/420

LCM = 243396028680

Thus, we can understand that the LCM of 355,749,516,840,887 is 243396028680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 749, 516, 840, 887

1. What is the LCM of 355, 749, 516, 840, 887?

Answer: LCM of 355, 749, 516, 840, 887 is 243396028680.

2. How to calculate the LCM of 355, 749, 516, 840, 887?

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 355, 749, 516, 840, 887.

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}.