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LCM of 341, 545, 274, 466, 978

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


Find the LCM of 341, 545, 274, 466, 978 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 341, 545, 274, 466, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,545,274,466,978

Given numbers are 341,545,274,466,978

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

The LCM of 341,545,274,466,978 is 5801846363610.

Find LCM of 341,545,274,466,978 with Prime Factorization


2 341, 545, 274, 466, 978
341, 545, 137, 233, 489

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

2 x 341 x 545 x 137 x 233 x 489 = 5801846363610

Therefore, the lowest common multiple of 341,545,274,466,978 is 5801846363610.

LCM Formula to Find Lowest Common Multiple of 341,545,274,466,978

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.

341 x 545 x 274 x 466 x 978 = 23207385454440

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.

341 : 1, 11, 31, 341

545 : 1, 5, 109, 545

274 : 1, 2, 137, 274

466 : 1, 2, 233, 466

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,545,274,466,978, is 1.

Now, the common factors can be found like this.

341:11x 31

545:5x 109

274:2x 137

466:2x 233

978:2x 3x 163

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23207385454440/(1x4)

LCM = 23207385454440/4

LCM = 5801846363610

Thus, we can understand that the LCM of 341,545,274,466,978 is 5801846363610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 545, 274, 466, 978

1. What is the LCM of 341, 545, 274, 466, 978?

Answer: LCM of 341, 545, 274, 466, 978 is 5801846363610.

2. How to calculate the LCM of 341, 545, 274, 466, 978?

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 341, 545, 274, 466, 978.

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}.