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LCM of 692, 760, 150, 269

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


Find the LCM of 692, 760, 150, 269 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 692, 760, 150, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,760,150,269

Given numbers are 692,760,150,269

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

The LCM of 692,760,150,269 is 530521800.

Find LCM of 692,760,150,269 with Prime Factorization


2 692, 760, 150, 269
2 346, 380, 75, 269
5 173, 190, 75, 269
173, 38, 15, 269

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

2 x 2 x 5 x 173 x 38 x 15 x 269 = 530521800

Therefore, the lowest common multiple of 692,760,150,269 is 530521800.

LCM Formula to Find Lowest Common Multiple of 692,760,150,269

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.

692 x 760 x 150 x 269 = 21220872000

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.

692 : 1, 2, 4, 173, 346, 692

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,760,150,269, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

760:2x 2x 2x 5x 19

150:2x 3x 5x 5

269:269

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 21220872000/(1x40)

LCM = 21220872000/40

LCM = 530521800

Thus, we can understand that the LCM of 692,760,150,269 is 530521800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 760, 150, 269

1. What is the LCM of 692, 760, 150, 269?

Answer: LCM of 692, 760, 150, 269 is 530521800.

2. How to calculate the LCM of 692, 760, 150, 269?

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 692, 760, 150, 269.

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}.