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LCM of 421, 817, 880, 746

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


Find the LCM of 421, 817, 880, 746 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 421, 817, 880, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,817,880,746

Given numbers are 421,817,880,746

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

The LCM of 421,817,880,746 is 112900445680.

Find LCM of 421,817,880,746 with Prime Factorization


2 421, 817, 880, 746
421, 817, 440, 373

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

2 x 421 x 817 x 440 x 373 = 112900445680

Therefore, the lowest common multiple of 421,817,880,746 is 112900445680.

LCM Formula to Find Lowest Common Multiple of 421,817,880,746

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.

421 x 817 x 880 x 746 = 225800891360

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.

421 : 1, 421

817 : 1, 19, 43, 817

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,817,880,746, is 1.

Now, the common factors can be found like this.

421:421

817:19x 43

880:2x 2x 2x 2x 5x 11

746:2x 373

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

2 = 2

Therefore, the value for common factors is 2.

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 = 225800891360/(1x2)

LCM = 225800891360/2

LCM = 112900445680

Thus, we can understand that the LCM of 421,817,880,746 is 112900445680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 817, 880, 746

1. What is the LCM of 421, 817, 880, 746?

Answer: LCM of 421, 817, 880, 746 is 112900445680.

2. How to calculate the LCM of 421, 817, 880, 746?

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 421, 817, 880, 746.

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}.