LCM of 967, 262, 942, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 262, 942, 524 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, 262, 942, 524. So, keep reading to learn more.
Given numbers are 967,262,942,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,262,942,524 is 238659468.
Find LCM of 967,262,942,524 with Prime Factorization
| 2 | 967, 262, 942, 524 |
| 131 | 967, 131, 471, 262 |
| 967, 1, 471, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 967 x 1 x 471 x 2 = 238659468
Therefore, the lowest common multiple of 967,262,942,524 is 238659468.
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 262 x 942 x 524 = 125057561232
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
262 : 1, 2, 131, 262
942 : 1, 2, 3, 6, 157, 314, 471, 942
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,262,942,524, is 1.
Now, the common factors can be found like this.
967:967
262:2x 131
942:2x 3x 157
524:2x 2x 131
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 131 = 524
Therefore, the value for common factors is 524.
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 = 125057561232/(1x524)
LCM = 125057561232/524
LCM = 238659468
Thus, we can understand that the LCM of 967,262,942,524 is 238659468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 262, 942, 524
1. What is the LCM of 967, 262, 942, 524?
Answer: LCM of 967, 262, 942, 524 is 238659468.
2. How to calculate the LCM of 967, 262, 942, 524?
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, 262, 942, 524.
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}.