LCM of 980, 807, 244, 946, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 807, 244, 946, 544 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 980, 807, 244, 946, 544. So, keep reading to learn more.
Given numbers are 980,807,244,946,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,807,244,946,544 is 3103340966880.
Find LCM of 980,807,244,946,544 with Prime Factorization
| 2 | 980, 807, 244, 946, 544 |
| 2 | 490, 807, 122, 473, 272 |
| 245, 807, 61, 473, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 245 x 807 x 61 x 473 x 136 = 3103340966880
Therefore, the lowest common multiple of 980,807,244,946,544 is 3103340966880.
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.
980 x 807 x 244 x 946 x 544 = 99306910940160
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
807 : 1, 3, 269, 807
244 : 1, 2, 4, 61, 122, 244
946 : 1, 2, 11, 22, 43, 86, 473, 946
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,807,244,946,544, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
807:3x 269
244:2x 2x 61
946:2x 11x 43
544:2x 2x 2x 2x 2x 17
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 2 = 32
Therefore, the value for common factors is 32.
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 = 99306910940160/(1x32)
LCM = 99306910940160/32
LCM = 3103340966880
Thus, we can understand that the LCM of 980,807,244,946,544 is 3103340966880.
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FAQs on LCM of 980, 807, 244, 946, 544
1. What is the LCM of 980, 807, 244, 946, 544?
Answer: LCM of 980, 807, 244, 946, 544 is 3103340966880.
2. How to calculate the LCM of 980, 807, 244, 946, 544?
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 980, 807, 244, 946, 544.
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}.