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LCM of 769, 662, 235, 642

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


Find the LCM of 769, 662, 235, 642 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 769, 662, 235, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,662,235,642

Given numbers are 769,662,235,642

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

The LCM of 769,662,235,642 is 38402298930.

Find LCM of 769,662,235,642 with Prime Factorization


2 769, 662, 235, 642
769, 331, 235, 321

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

2 x 769 x 331 x 235 x 321 = 38402298930

Therefore, the lowest common multiple of 769,662,235,642 is 38402298930.

LCM Formula to Find Lowest Common Multiple of 769,662,235,642

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.

769 x 662 x 235 x 642 = 76804597860

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.

769 : 1, 769

662 : 1, 2, 331, 662

235 : 1, 5, 47, 235

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,662,235,642, is 1.

Now, the common factors can be found like this.

769:769

662:2x 331

235:5x 47

642:2x 3x 107

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 = 76804597860/(1x2)

LCM = 76804597860/2

LCM = 38402298930

Thus, we can understand that the LCM of 769,662,235,642 is 38402298930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 662, 235, 642

1. What is the LCM of 769, 662, 235, 642?

Answer: LCM of 769, 662, 235, 642 is 38402298930.

2. How to calculate the LCM of 769, 662, 235, 642?

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 769, 662, 235, 642.

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}.