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LCM of 951, 376, 278, 705

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


Find the LCM of 951, 376, 278, 705 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 951, 376, 278, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 951,376,278,705

Given numbers are 951,376,278,705

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

The LCM of 951,376,278,705 is 248515320.

Find LCM of 951,376,278,705 with Prime Factorization


2 951, 376, 278, 705
3 951, 188, 139, 705
47 317, 188, 139, 235
317, 4, 139, 5

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

2 x 3 x 47 x 317 x 4 x 139 x 5 = 248515320

Therefore, the lowest common multiple of 951,376,278,705 is 248515320.

LCM Formula to Find Lowest Common Multiple of 951,376,278,705

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.

951 x 376 x 278 x 705 = 70081320240

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.

951 : 1, 3, 317, 951

376 : 1, 2, 4, 8, 47, 94, 188, 376

278 : 1, 2, 139, 278

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,376,278,705, is 1.

Now, the common factors can be found like this.

951:3x 317

376:2x 2x 2x 47

278:2x 139

705:3x 5x 47

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

2x 3x 47 = 282

Therefore, the value for common factors is 282.

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 = 70081320240/(1x282)

LCM = 70081320240/282

LCM = 248515320

Thus, we can understand that the LCM of 951,376,278,705 is 248515320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 951, 376, 278, 705

1. What is the LCM of 951, 376, 278, 705?

Answer: LCM of 951, 376, 278, 705 is 248515320.

2. How to calculate the LCM of 951, 376, 278, 705?

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 951, 376, 278, 705.

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}.