30 and 40
Factors of 30 are 1, 2, 3, 10, 15, and 30.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The GCF of 30 and 40 is 10.
Multiples of 30 are 30, 60, 90, 120, ...
Multiples of 40 are 40, 80, 120, ...
The LCM of 30 and 40 is 120.
or
Write the prime factorization.
30 = 2 x 3 x 5
40 = 23 x 5
The common prime factors are 2 and 5, so that the GCF of 30 and 40 is 2 x 5 = 10.
The greatest power of both numbers are 23, 3, and 5, so the LCM of 30 and 40 is 23 x 3 x 5 = 120.
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38 + 62 = 100 38 x 62 = 2,356
which pair of numbers from 1 to 30 has the LCM OF 120
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
27 and 81 are a possibility. Also numbers like 5 and 10, 20 and 40.
To find two numbers that multiply to 1500, we can factorize 1500. The prime factorization of 1500 is 2^2 * 3 * 5^3. To find the pair of numbers, we can combine these factors in different ways. One possible pair is 30 and 50, as 30 * 50 = 1500. So, 30 times 50 equals 1500.