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LCM of 625, 625, 622, 679, 202

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


Find the LCM of 625, 625, 622, 679, 202 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 625, 625, 622, 679, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,625,622,679,202

Given numbers are 625,625,622,679,202

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

The LCM of 625,625,622,679,202 is 26660086250.

Find LCM of 625,625,622,679,202 with Prime Factorization


2 625, 625, 622, 679, 202
5 625, 625, 311, 679, 101
5 125, 125, 311, 679, 101
5 25, 25, 311, 679, 101
5 5, 5, 311, 679, 101
1, 1, 311, 679, 101

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

2 x 5 x 5 x 5 x 5 x 1 x 1 x 311 x 679 x 101 = 26660086250

Therefore, the lowest common multiple of 625,625,622,679,202 is 26660086250.

LCM Formula to Find Lowest Common Multiple of 625,625,622,679,202

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.

625 x 625 x 622 x 679 x 202 = 33325107812500

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.

625 : 1, 5, 25, 125, 625

625 : 1, 5, 25, 125, 625

622 : 1, 2, 311, 622

679 : 1, 7, 97, 679

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,625,622,679,202, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

625:5x 5x 5x 5

622:2x 311

679:7x 97

202:2x 101

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

2x 5x 5x 5x 5 = 1250

Therefore, the value for common factors is 1250.

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 = 33325107812500/(1x1250)

LCM = 33325107812500/1250

LCM = 26660086250

Thus, we can understand that the LCM of 625,625,622,679,202 is 26660086250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 625, 622, 679, 202

1. What is the LCM of 625, 625, 622, 679, 202?

Answer: LCM of 625, 625, 622, 679, 202 is 26660086250.

2. How to calculate the LCM of 625, 625, 622, 679, 202?

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 625, 625, 622, 679, 202.

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}.