LCM of 989, 690, 518, 521, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 690, 518, 521, 894 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 989, 690, 518, 521, 894. So, keep reading to learn more.
Given numbers are 989,690,518,521,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,690,518,521,894 is 596542379370.
Find LCM of 989,690,518,521,894 with Prime Factorization
| 2 | 989, 690, 518, 521, 894 |
| 3 | 989, 345, 259, 521, 447 |
| 23 | 989, 115, 259, 521, 149 |
| 43, 5, 259, 521, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 5 x 259 x 521 x 149 = 596542379370
Therefore, the lowest common multiple of 989,690,518,521,894 is 596542379370.
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.
989 x 690 x 518 x 521 x 894 = 164645696706120
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.
989 : 1, 23, 43, 989
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
518 : 1, 2, 7, 14, 37, 74, 259, 518
521 : 1, 521
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,690,518,521,894, is 1.
Now, the common factors can be found like this.
989:23x 43
690:2x 3x 5x 23
518:2x 7x 37
521:521
894:2x 3x 149
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 23 = 276
Therefore, the value for common factors is 276.
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 = 164645696706120/(1x276)
LCM = 164645696706120/276
LCM = 596542379370
Thus, we can understand that the LCM of 989,690,518,521,894 is 596542379370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 690, 518, 521, 894
1. What is the LCM of 989, 690, 518, 521, 894?
Answer: LCM of 989, 690, 518, 521, 894 is 596542379370.
2. How to calculate the LCM of 989, 690, 518, 521, 894?
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 989, 690, 518, 521, 894.
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}.