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LCM of 293, 278, 403, 654, 479

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


Find the LCM of 293, 278, 403, 654, 479 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 293, 278, 403, 654, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,278,403,654,479

Given numbers are 293,278,403,654,479

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

The LCM of 293,278,403,654,479 is 5141628905946.

Find LCM of 293,278,403,654,479 with Prime Factorization


2 293, 278, 403, 654, 479
293, 139, 403, 327, 479

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

2 x 293 x 139 x 403 x 327 x 479 = 5141628905946

Therefore, the lowest common multiple of 293,278,403,654,479 is 5141628905946.

LCM Formula to Find Lowest Common Multiple of 293,278,403,654,479

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.

293 x 278 x 403 x 654 x 479 = 10283257811892

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.

293 : 1, 293

278 : 1, 2, 139, 278

403 : 1, 13, 31, 403

654 : 1, 2, 3, 6, 109, 218, 327, 654

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,278,403,654,479, is 1.

Now, the common factors can be found like this.

293:293

278:2x 139

403:13x 31

654:2x 3x 109

479:479

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 = 10283257811892/(1x2)

LCM = 10283257811892/2

LCM = 5141628905946

Thus, we can understand that the LCM of 293,278,403,654,479 is 5141628905946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 278, 403, 654, 479

1. What is the LCM of 293, 278, 403, 654, 479?

Answer: LCM of 293, 278, 403, 654, 479 is 5141628905946.

2. How to calculate the LCM of 293, 278, 403, 654, 479?

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 293, 278, 403, 654, 479.

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}.