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LCM of 437, 625, 700, 851

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


Find the LCM of 437, 625, 700, 851 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 437, 625, 700, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,625,700,851

Given numbers are 437,625,700,851

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

The LCM of 437,625,700,851 is 282957500.

Find LCM of 437,625,700,851 with Prime Factorization


5 437, 625, 700, 851
5 437, 125, 140, 851
23 437, 25, 28, 851
19, 25, 28, 37

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

5 x 5 x 23 x 19 x 25 x 28 x 37 = 282957500

Therefore, the lowest common multiple of 437,625,700,851 is 282957500.

LCM Formula to Find Lowest Common Multiple of 437,625,700,851

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.

437 x 625 x 700 x 851 = 162700562500

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.

437 : 1, 19, 23, 437

625 : 1, 5, 25, 125, 625

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,625,700,851, is 1.

Now, the common factors can be found like this.

437:19x 23

625:5x 5x 5x 5

700:2x 2x 5x 5x 7

851:23x 37

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 162700562500/(1x575)

LCM = 162700562500/575

LCM = 282957500

Thus, we can understand that the LCM of 437,625,700,851 is 282957500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 625, 700, 851

1. What is the LCM of 437, 625, 700, 851?

Answer: LCM of 437, 625, 700, 851 is 282957500.

2. How to calculate the LCM of 437, 625, 700, 851?

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 437, 625, 700, 851.

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}.