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LCM of 277, 416, 372, 945

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


Find the LCM of 277, 416, 372, 945 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 277, 416, 372, 945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,416,372,945

Given numbers are 277,416,372,945

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

The LCM of 277,416,372,945 is 3375721440.

Find LCM of 277,416,372,945 with Prime Factorization


2 277, 416, 372, 945
2 277, 208, 186, 945
3 277, 104, 93, 945
277, 104, 31, 315

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

2 x 2 x 3 x 277 x 104 x 31 x 315 = 3375721440

Therefore, the lowest common multiple of 277,416,372,945 is 3375721440.

LCM Formula to Find Lowest Common Multiple of 277,416,372,945

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.

277 x 416 x 372 x 945 = 40508657280

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.

277 : 1, 277

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,416,372,945, is 1.

Now, the common factors can be found like this.

277:277

416:2x 2x 2x 2x 2x 13

372:2x 2x 3x 31

945:3x 3x 3x 5x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 40508657280/(1x12)

LCM = 40508657280/12

LCM = 3375721440

Thus, we can understand that the LCM of 277,416,372,945 is 3375721440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 416, 372, 945

1. What is the LCM of 277, 416, 372, 945?

Answer: LCM of 277, 416, 372, 945 is 3375721440.

2. How to calculate the LCM of 277, 416, 372, 945?

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 277, 416, 372, 945.

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}.