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LCM of 841, 584, 354, 572, 611

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


Find the LCM of 841, 584, 354, 572, 611 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, 584, 354, 572, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,584,354,572,611

Given numbers are 841,584,354,572,611

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

The LCM of 841,584,354,572,611 is 584273251848.

Find LCM of 841,584,354,572,611 with Prime Factorization


2 841, 584, 354, 572, 611
2 841, 292, 177, 286, 611
13 841, 146, 177, 143, 611
841, 146, 177, 11, 47

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

2 x 2 x 13 x 841 x 146 x 177 x 11 x 47 = 584273251848

Therefore, the lowest common multiple of 841,584,354,572,611 is 584273251848.

LCM Formula to Find Lowest Common Multiple of 841,584,354,572,611

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 584 x 354 x 572 x 611 = 60764418192192

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

354 : 1, 2, 3, 6, 59, 118, 177, 354

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,584,354,572,611, is 1.

Now, the common factors can be found like this.

841:29x 29

584:2x 2x 2x 73

354:2x 3x 59

572:2x 2x 11x 13

611:13x 47

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 60764418192192/(1x104)

LCM = 60764418192192/104

LCM = 584273251848

Thus, we can understand that the LCM of 841,584,354,572,611 is 584273251848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 584, 354, 572, 611

1. What is the LCM of 841, 584, 354, 572, 611?

Answer: LCM of 841, 584, 354, 572, 611 is 584273251848.

2. How to calculate the LCM of 841, 584, 354, 572, 611?

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, 584, 354, 572, 611.

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}.