LCM of 802, 224, 946, 376, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 224, 946, 376, 988 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 802, 224, 946, 376, 988. So, keep reading to learn more.
Given numbers are 802,224,946,376,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,224,946,376,988 is 493228703968.
Find LCM of 802,224,946,376,988 with Prime Factorization
| 2 | 802, 224, 946, 376, 988 |
| 2 | 401, 112, 473, 188, 494 |
| 2 | 401, 56, 473, 94, 247 |
| 401, 28, 473, 47, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 401 x 28 x 473 x 47 x 247 = 493228703968
Therefore, the lowest common multiple of 802,224,946,376,988 is 493228703968.
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.
802 x 224 x 946 x 376 x 988 = 63133274107904
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.
802 : 1, 2, 401, 802
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
946 : 1, 2, 11, 22, 43, 86, 473, 946
376 : 1, 2, 4, 8, 47, 94, 188, 376
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,224,946,376,988, is 2.
Now, the common factors can be found like this.
802:2x 401
224:2x 2x 2x 2x 2x 7
946:2x 11x 43
376:2x 2x 2x 47
988:2x 2x 13x 19
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 2 = 64
Therefore, the value for common factors is 64.
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 = 63133274107904/(2x64)
LCM = 63133274107904/128
LCM = 493228703968
Thus, we can understand that the LCM of 802,224,946,376,988 is 493228703968.
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FAQs on LCM of 802, 224, 946, 376, 988
1. What is the LCM of 802, 224, 946, 376, 988?
Answer: LCM of 802, 224, 946, 376, 988 is 493228703968.
2. How to calculate the LCM of 802, 224, 946, 376, 988?
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 802, 224, 946, 376, 988.
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}.