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LCM of 373, 834, 546, 533, 792

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


Find the LCM of 373, 834, 546, 533, 792 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 373, 834, 546, 533, 792. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,834,546,533,792

Given numbers are 373,834,546,533,792

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

The LCM of 373,834,546,533,792 is 153205396344.

Find LCM of 373,834,546,533,792 with Prime Factorization


2 373, 834, 546, 533, 792
3 373, 417, 273, 533, 396
13 373, 139, 91, 533, 132
373, 139, 7, 41, 132

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

2 x 3 x 13 x 373 x 139 x 7 x 41 x 132 = 153205396344

Therefore, the lowest common multiple of 373,834,546,533,792 is 153205396344.

LCM Formula to Find Lowest Common Multiple of 373,834,546,533,792

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.

373 x 834 x 546 x 533 x 792 = 71700125488992

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.

373 : 1, 373

834 : 1, 2, 3, 6, 139, 278, 417, 834

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

533 : 1, 13, 41, 533

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,834,546,533,792, is 1.

Now, the common factors can be found like this.

373:373

834:2x 3x 139

546:2x 3x 7x 13

533:13x 41

792:2x 2x 2x 3x 3x 11

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 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 71700125488992/(1x468)

LCM = 71700125488992/468

LCM = 153205396344

Thus, we can understand that the LCM of 373,834,546,533,792 is 153205396344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 834, 546, 533, 792

1. What is the LCM of 373, 834, 546, 533, 792?

Answer: LCM of 373, 834, 546, 533, 792 is 153205396344.

2. How to calculate the LCM of 373, 834, 546, 533, 792?

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 373, 834, 546, 533, 792.

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}.