2 x 2 x 3 x 5
The LCM is 60.
The LCM is 90.
The LCM is 150.
1575 =3*3*7*5*5 = 63*25 2000 = 2*2*2*2*5*5*5 = 80*25 SO LCM = 63*80*25 = 126,000 which is 80 times 1575 and 63 times 2000
The LCM of 234 and 5 is 1170. The LCM of 2, 3, 4 and 5 is 60.
LCM(5, 3, 7, 2) = 210
The LCM OF 2, 3, 5, AND 7 IS 210
The smallest number that can be divided exactly by 24, 32, and 40 is their least common multiple (LCM). To find the LCM, we first determine the prime factorization of each number: (24 = 2^3 \times 3), (32 = 2^5), and (40 = 2^3 \times 5). The LCM takes the highest power of each prime: (2^5), (3^1), and (5^1). Thus, the LCM is (2^5 \times 3^1 \times 5^1 = 480). Therefore, the smallest number that can be divided exactly by 24, 32, and 40 is 480.
lcm(8, 5, 12) = 120 8 = 2^3 5 = 5 12 = 2^2 x 3 lcm = 2^3 x 3 x 5 = 120
LCM(5, 7, 3, 2) = 210.
The LCM of 2, 3 and 5 is 30. The LCM of any three relatively prime numbers a, b and c is a*b*c, and here, 2 is a, 3 is b and 5 is c. Since 2, 3 and 5 are relatively prime, the LCM is 2*3*5=30.
To find the least sum of money that 24, 30, and 54 will divide exactly, we need to calculate the least common multiple (LCM) of these numbers. The prime factorization of each number is: 24 = (2^3 \times 3), 30 = (2 \times 3 \times 5), and 54 = (2 \times 3^3). The LCM is obtained by taking the highest power of each prime: (2^3), (3^3), and (5^1). Thus, the LCM is (2^3 \times 3^3 \times 5 = 8 \times 27 \times 5 = 1080). Therefore, the least sum of money is 1080.