Two bells ring at an interval of 30 minutes and 36 minutes.They ring s

1.	Two bells ring at an interval of 30 minutes and 36 minutes.They ring simultaneously at 8:30 a.m.When will they ring simultaneously again?
Answer» $\huge\sf\pink{Answer}$ ☞ Both the bells will ring simultaneously again at 11:30 ━━━━━━━━━━━━━ $\huge\sf\blue{Given}$ ✭ Two bells ring at an interval of 30 & 36 minutes ✭ They rang simultaneously at 8:30 am ━━━━━━━━━━━━━ $\huge\sf\gray{To \:Find}$ ◈ When will they ring back TOGETHER again? ━━━━━━━━━━━━━ $\huge\sf\purple{Steps}$ So here we shall first find the HCF of 30 & 36, that is, ➝ 30 = 2 × 3 × 5 ➝ 36 = 2 × 2 × 3 × 3 = 2² × 3² LCM is the product of the LEAST power of the common factors,so, ➝ LCM(30,36) = 2² × 3² × 5 ➝ LCM(30,36) = 180 So it means that the two bells will ring again in 180 minutes,so if we had to show it from 8:30 we have to convet 180 minutes to hours, that is, ➳ $\sf 1 \ Hour = 60 \ Minutes$ ➳ $\sf 180 \ Minutes = \dfrac{180}{60}$ ➳ $\sf \red{180 \ Minutes = 3 \ Hours}$ Adding it to 8:30 am »» $\sf 8:30 + 3$ »» $\sf \orange{11:30 \ Am}$ ━━━━━━━━━━━━━━━━━━