LCM of 980, 705, 254, 126, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 705, 254, 126, 703 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, 705, 254, 126, 703. So, keep reading to learn more.
Given numbers are 980,705,254,126,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,705,254,126,703 is 37010545740.
Find LCM of 980,705,254,126,703 with Prime Factorization
| 2 | 980, 705, 254, 126, 703 |
| 3 | 490, 705, 127, 63, 703 |
| 5 | 490, 235, 127, 21, 703 |
| 7 | 98, 47, 127, 21, 703 |
| 14, 47, 127, 3, 703 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 14 x 47 x 127 x 3 x 703 = 37010545740
Therefore, the lowest common multiple of 980,705,254,126,703 is 37010545740.
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 705 x 254 x 126 x 703 = 15544429210800
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
254 : 1, 2, 127, 254
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,705,254,126,703, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
705:3x 5x 47
254:2x 127
126:2x 3x 3x 7
703:19x 37
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 15544429210800/(1x420)
LCM = 15544429210800/420
LCM = 37010545740
Thus, we can understand that the LCM of 980,705,254,126,703 is 37010545740.
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FAQs on LCM of 980, 705, 254, 126, 703
1. What is the LCM of 980, 705, 254, 126, 703?
Answer: LCM of 980, 705, 254, 126, 703 is 37010545740.
2. How to calculate the LCM of 980, 705, 254, 126, 703?
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, 705, 254, 126, 703.
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}.