LCM of 222, 342, 711, 749, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 342, 711, 749, 978 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 222, 342, 711, 749, 978. So, keep reading to learn more.
Given numbers are 222,342,711,749,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,342,711,749,978 is 122046222942.
Find LCM of 222,342,711,749,978 with Prime Factorization
| 2 | 222, 342, 711, 749, 978 |
| 3 | 111, 171, 711, 749, 489 |
| 3 | 37, 57, 237, 749, 163 |
| 37, 19, 79, 749, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 19 x 79 x 749 x 163 = 122046222942
Therefore, the lowest common multiple of 222,342,711,749,978 is 122046222942.
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.
222 x 342 x 711 x 749 x 978 = 39542976233208
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
711 : 1, 3, 9, 79, 237, 711
749 : 1, 7, 107, 749
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,342,711,749,978, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
342:2x 3x 3x 19
711:3x 3x 79
749:7x 107
978:2x 3x 163
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 39542976233208/(1x324)
LCM = 39542976233208/324
LCM = 122046222942
Thus, we can understand that the LCM of 222,342,711,749,978 is 122046222942.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 342, 711, 749, 978
1. What is the LCM of 222, 342, 711, 749, 978?
Answer: LCM of 222, 342, 711, 749, 978 is 122046222942.
2. How to calculate the LCM of 222, 342, 711, 749, 978?
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 222, 342, 711, 749, 978.
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}.