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LCM of 541, 890, 163, 712

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


Find the LCM of 541, 890, 163, 712 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 541, 890, 163, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,890,163,712

Given numbers are 541,890,163,712

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

The LCM of 541,890,163,712 is 313931480.

Find LCM of 541,890,163,712 with Prime Factorization


2 541, 890, 163, 712
89 541, 445, 163, 356
541, 5, 163, 4

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

2 x 89 x 541 x 5 x 163 x 4 = 313931480

Therefore, the lowest common multiple of 541,890,163,712 is 313931480.

LCM Formula to Find Lowest Common Multiple of 541,890,163,712

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.

541 x 890 x 163 x 712 = 55879803440

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.

541 : 1, 541

890 : 1, 2, 5, 10, 89, 178, 445, 890

163 : 1, 163

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,890,163,712, is 1.

Now, the common factors can be found like this.

541:541

890:2x 5x 89

163:163

712:2x 2x 2x 89

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

2x 89 = 178

Therefore, the value for common factors is 178.

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 = 55879803440/(1x178)

LCM = 55879803440/178

LCM = 313931480

Thus, we can understand that the LCM of 541,890,163,712 is 313931480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 890, 163, 712

1. What is the LCM of 541, 890, 163, 712?

Answer: LCM of 541, 890, 163, 712 is 313931480.

2. How to calculate the LCM of 541, 890, 163, 712?

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 541, 890, 163, 712.

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}.