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LCM of 251, 902, 912, 473, 976

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


Find the LCM of 251, 902, 912, 473, 976 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 251, 902, 912, 473, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,902,912,473,976

Given numbers are 251,902,912,473,976

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

The LCM of 251,902,912,473,976 is 270796715376.

Find LCM of 251,902,912,473,976 with Prime Factorization


2 251, 902, 912, 473, 976
2 251, 451, 456, 473, 488
2 251, 451, 228, 473, 244
2 251, 451, 114, 473, 122
11 251, 451, 57, 473, 61
251, 41, 57, 43, 61

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

2 x 2 x 2 x 2 x 11 x 251 x 41 x 57 x 43 x 61 = 270796715376

Therefore, the lowest common multiple of 251,902,912,473,976 is 270796715376.

LCM Formula to Find Lowest Common Multiple of 251,902,912,473,976

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.

251 x 902 x 912 x 473 x 976 = 95320443812352

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.

251 : 1, 251

902 : 1, 2, 11, 22, 41, 82, 451, 902

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

473 : 1, 11, 43, 473

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,902,912,473,976, is 1.

Now, the common factors can be found like this.

251:251

902:2x 11x 41

912:2x 2x 2x 2x 3x 19

473:11x 43

976:2x 2x 2x 2x 61

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 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 95320443812352/(1x352)

LCM = 95320443812352/352

LCM = 270796715376

Thus, we can understand that the LCM of 251,902,912,473,976 is 270796715376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 902, 912, 473, 976

1. What is the LCM of 251, 902, 912, 473, 976?

Answer: LCM of 251, 902, 912, 473, 976 is 270796715376.

2. How to calculate the LCM of 251, 902, 912, 473, 976?

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 251, 902, 912, 473, 976.

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}.