The LCM of 40, 20, 195 and 160 is:
The LCM of 40, 20, 195 and 160 is:
40, 20, 195 और 160 का लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
6240
Prime factorization:
$40 = 2^3 \times 5$
$20 = 2^2 \times 5$
$195 = 3 \times 5 \times 13$
$160 = 2^5 \times 5$
Now take the highest powers of all prime factors:
Highest power of 2 = $2^5$
Highest power of 3 = 3
Highest power of 5 = 5
Highest power of 13 = 13
So,
$\text{LCM} = 2^5 \times 3 \times 5 \times 13$
$= 32 \times 3 \times 5 \times 13$
$= 96 \times 5 \times 13$
$= 480 \times 13$
= 6240
Similar Practice Questions
The H.C.F. and the L.C.M. of two numbers
The H.C.F. and the L.C.M. of two numbers are 18 and 1296, respectively. If one...
The LCM of three different numbers is 120. Which of the following cannot be their HCF?
The LCM of three different numbers is 120. Which of the following cannot be their...
Evaluate/ मान ज्ञात कीजिए।
Evaluate/ मान ज्ञात कीजिए। $145 ^2$.
The HCF and the LCM of two numbers are 14 and 196, respectively. If one of the numbers is 98, find the other one.
The HCF and the LCM of two numbers are 14 and 196, respectively. If one...
Find the HCF of 620 and 248.
Find the HCF of 620 and 248. 620 और 248 का एच. सी. एफ. (HCF)...
The LCM of the numbers 12.8 and 0.004 is:
The LCM of the numbers 12.8 and 0.004 is: संख्याओं 12.8 और 0.004 का लघुत्तम...
An oil dealer had three types of oil.
An oil dealer had three types of oil. 403 litres of the first kind, 434...