LCM of 967, 140, 978, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 140, 978, 900 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 967, 140, 978, 900. So, keep reading to learn more.
Given numbers are 967,140,978,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,140,978,900 is 993012300.
Find LCM of 967,140,978,900 with Prime Factorization
| 2 | 967, 140, 978, 900 |
| 2 | 967, 70, 489, 450 |
| 3 | 967, 35, 489, 225 |
| 5 | 967, 35, 163, 75 |
| 967, 7, 163, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 967 x 7 x 163 x 15 = 993012300
Therefore, the lowest common multiple of 967,140,978,900 is 993012300.
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.
967 x 140 x 978 x 900 = 119161476000
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.
967 : 1, 967
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
978 : 1, 2, 3, 6, 163, 326, 489, 978
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,140,978,900, is 1.
Now, the common factors can be found like this.
967:967
140:2x 2x 5x 7
978:2x 3x 163
900:2x 2x 3x 3x 5x 5
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 119161476000/(1x120)
LCM = 119161476000/120
LCM = 993012300
Thus, we can understand that the LCM of 967,140,978,900 is 993012300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 140, 978, 900
1. What is the LCM of 967, 140, 978, 900?
Answer: LCM of 967, 140, 978, 900 is 993012300.
2. How to calculate the LCM of 967, 140, 978, 900?
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 967, 140, 978, 900.
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}.