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LCM of 624, 678, 734, 409, 957

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


Find the LCM of 624, 678, 734, 409, 957 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 624, 678, 734, 409, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,678,734,409,957

Given numbers are 624,678,734,409,957

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

The LCM of 624,678,734,409,957 is 3376316012784.

Find LCM of 624,678,734,409,957 with Prime Factorization


2 624, 678, 734, 409, 957
3 312, 339, 367, 409, 957
104, 113, 367, 409, 319

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

2 x 3 x 104 x 113 x 367 x 409 x 319 = 3376316012784

Therefore, the lowest common multiple of 624,678,734,409,957 is 3376316012784.

LCM Formula to Find Lowest Common Multiple of 624,678,734,409,957

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.

624 x 678 x 734 x 409 x 957 = 121547376460224

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

678 : 1, 2, 3, 6, 113, 226, 339, 678

734 : 1, 2, 367, 734

409 : 1, 409

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,678,734,409,957, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

678:2x 3x 113

734:2x 367

409:409

957:3x 11x 29

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 3 = 36

Therefore, the value for common factors is 36.

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 = 121547376460224/(1x36)

LCM = 121547376460224/36

LCM = 3376316012784

Thus, we can understand that the LCM of 624,678,734,409,957 is 3376316012784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 678, 734, 409, 957

1. What is the LCM of 624, 678, 734, 409, 957?

Answer: LCM of 624, 678, 734, 409, 957 is 3376316012784.

2. How to calculate the LCM of 624, 678, 734, 409, 957?

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 624, 678, 734, 409, 957.

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}.