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LCM of 734, 986, 286, 269, 292

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


Find the LCM of 734, 986, 286, 269, 292 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 734, 986, 286, 269, 292. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,986,286,269,292

Given numbers are 734,986,286,269,292

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

The LCM of 734,986,286,269,292 is 2032282850884.

Find LCM of 734,986,286,269,292 with Prime Factorization


2 734, 986, 286, 269, 292
367, 493, 143, 269, 146

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

2 x 367 x 493 x 143 x 269 x 146 = 2032282850884

Therefore, the lowest common multiple of 734,986,286,269,292 is 2032282850884.

LCM Formula to Find Lowest Common Multiple of 734,986,286,269,292

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.

734 x 986 x 286 x 269 x 292 = 16258262807072

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.

734 : 1, 2, 367, 734

986 : 1, 2, 17, 29, 34, 58, 493, 986

286 : 1, 2, 11, 13, 22, 26, 143, 286

269 : 1, 269

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,986,286,269,292, is 1.

Now, the common factors can be found like this.

734:2x 367

986:2x 17x 29

286:2x 11x 13

269:269

292:2x 2x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16258262807072/(1x8)

LCM = 16258262807072/8

LCM = 2032282850884

Thus, we can understand that the LCM of 734,986,286,269,292 is 2032282850884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 986, 286, 269, 292

1. What is the LCM of 734, 986, 286, 269, 292?

Answer: LCM of 734, 986, 286, 269, 292 is 2032282850884.

2. How to calculate the LCM of 734, 986, 286, 269, 292?

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 734, 986, 286, 269, 292.

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}.