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LCM of 907, 446, 604, 123

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


Find the LCM of 907, 446, 604, 123 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 907, 446, 604, 123. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,446,604,123

Given numbers are 907,446,604,123

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

The LCM of 907,446,604,123 is 15026374212.

Find LCM of 907,446,604,123 with Prime Factorization


2 907, 446, 604, 123
907, 223, 302, 123

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

2 x 907 x 223 x 302 x 123 = 15026374212

Therefore, the lowest common multiple of 907,446,604,123 is 15026374212.

LCM Formula to Find Lowest Common Multiple of 907,446,604,123

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.

907 x 446 x 604 x 123 = 30052748424

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.

907 : 1, 907

446 : 1, 2, 223, 446

604 : 1, 2, 4, 151, 302, 604

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,446,604,123, is 1.

Now, the common factors can be found like this.

907:907

446:2x 223

604:2x 2x 151

123:3x 41

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 = 30052748424/(1x2)

LCM = 30052748424/2

LCM = 15026374212

Thus, we can understand that the LCM of 907,446,604,123 is 15026374212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 446, 604, 123

1. What is the LCM of 907, 446, 604, 123?

Answer: LCM of 907, 446, 604, 123 is 15026374212.

2. How to calculate the LCM of 907, 446, 604, 123?

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 907, 446, 604, 123.

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}.