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LCM of 625, 369, 269, 738

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


Find the LCM of 625, 369, 269, 738 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, 369, 269, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,369,269,738

Given numbers are 625,369,269,738

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

The LCM of 625,369,269,738 is 124076250.

Find LCM of 625,369,269,738 with Prime Factorization


3 625, 369, 269, 738
3 625, 123, 269, 246
41 625, 41, 269, 82
625, 1, 269, 2

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

3 x 3 x 41 x 625 x 1 x 269 x 2 = 124076250

Therefore, the lowest common multiple of 625,369,269,738 is 124076250.

LCM Formula to Find Lowest Common Multiple of 625,369,269,738

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 369 x 269 x 738 = 45784136250

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

369 : 1, 3, 9, 41, 123, 369

269 : 1, 269

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,369,269,738, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

369:3x 3x 41

269:269

738:2x 3x 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.

3x 3x 41 = 369

Therefore, the value for common factors is 369.

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 = 45784136250/(1x369)

LCM = 45784136250/369

LCM = 124076250

Thus, we can understand that the LCM of 625,369,269,738 is 124076250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 369, 269, 738

1. What is the LCM of 625, 369, 269, 738?

Answer: LCM of 625, 369, 269, 738 is 124076250.

2. How to calculate the LCM of 625, 369, 269, 738?

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, 369, 269, 738.

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}.