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LCM of 841, 116, 445, 981

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


Find the LCM of 841, 116, 445, 981 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 841, 116, 445, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,116,445,981

Given numbers are 841,116,445,981

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

The LCM of 841,116,445,981 is 1468537380.

Find LCM of 841,116,445,981 with Prime Factorization


29 841, 116, 445, 981
29, 4, 445, 981

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

29 x 29 x 4 x 445 x 981 = 1468537380

Therefore, the lowest common multiple of 841,116,445,981 is 1468537380.

LCM Formula to Find Lowest Common Multiple of 841,116,445,981

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.

841 x 116 x 445 x 981 = 42587584020

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.

841 : 1, 29, 841

116 : 1, 2, 4, 29, 58, 116

445 : 1, 5, 89, 445

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,116,445,981, is 1.

Now, the common factors can be found like this.

841:29x 29

116:2x 2x 29

445:5x 89

981:3x 3x 109

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

29 = 29

Therefore, the value for common factors is 29.

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 = 42587584020/(1x29)

LCM = 42587584020/29

LCM = 1468537380

Thus, we can understand that the LCM of 841,116,445,981 is 1468537380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 116, 445, 981

1. What is the LCM of 841, 116, 445, 981?

Answer: LCM of 841, 116, 445, 981 is 1468537380.

2. How to calculate the LCM of 841, 116, 445, 981?

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 841, 116, 445, 981.

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}.