The LCM of 8a²b³f⁴ and 3abg is 24a²b³f⁴g.
What is defined by the term LCM?
LCM is an abbreviation for "Least Common Multiple." The smallest multiple which two or even more numbers have in common is defined as the least common multiple.
- Consider the following two integers: 2 and 3.
- 2 multiples: 2, 4, 6, 8, 10, 12, 14....
- Multiples of three: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on.
- The numbers 6, 12, and 18 are all common multiples of 2 and 3. The smallest number is six.
- As a result, the least common multiple of 2 and 3 is 6.
- The smallest number divisible both by numbers is the LCM of two numbers.
Figuring the lowest common denominator (LCD) of 2 or even more fractions is a common application of LCM.
It is useful for adding, subtracting, as well as compare different or more fractions.
For the given question, the two numbers are given as; 8a²b³f⁴ and 3abg.
The least common multiple which will divide both the numbers are; all the values with their highest power.
LCM = 24a²b³f⁴g.
Thus, the LCM is found as 24a²b³f⁴g.
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