LCM of 523, 744, 392, 980, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 744, 392, 980, 962 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 523, 744, 392, 980, 962. So, keep reading to learn more.
Given numbers are 523,744,392,980,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,744,392,980,962 is 45854903640.
Find LCM of 523,744,392,980,962 with Prime Factorization
| 2 | 523, 744, 392, 980, 962 |
| 2 | 523, 372, 196, 490, 481 |
| 2 | 523, 186, 98, 245, 481 |
| 7 | 523, 93, 49, 245, 481 |
| 7 | 523, 93, 7, 35, 481 |
| 523, 93, 1, 5, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 523 x 93 x 1 x 5 x 481 = 45854903640
Therefore, the lowest common multiple of 523,744,392,980,962 is 45854903640.
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.
523 x 744 x 392 x 980 x 962 = 143800977815040
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.
523 : 1, 523
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,744,392,980,962, is 1.
Now, the common factors can be found like this.
523:523
744:2x 2x 2x 3x 31
392:2x 2x 2x 7x 7
980:2x 2x 5x 7x 7
962:2x 13x 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 2x 2x 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 143800977815040/(1x3136)
LCM = 143800977815040/3136
LCM = 45854903640
Thus, we can understand that the LCM of 523,744,392,980,962 is 45854903640.
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FAQs on LCM of 523, 744, 392, 980, 962
1. What is the LCM of 523, 744, 392, 980, 962?
Answer: LCM of 523, 744, 392, 980, 962 is 45854903640.
2. How to calculate the LCM of 523, 744, 392, 980, 962?
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 523, 744, 392, 980, 962.
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}.