Question

l c m of 30,45,65,78

Answer 1

dude it a easy question puchoge

Answer 2

LCM stands for $<b>Least Common Multiple.</b>$

$<u>It is the smallest positive integer that is divisible by all given numbers.</u>$



Given numbers :

30, 45, 65, 78



$<b>Step I :</b>$ $<u>Prime Factorisation of each number.</u>$

30 = 2 × 3 × 5 = 2¹ × 3¹ × 5¹

45 = 3 × 3 × 5 = 3² × 5¹

65 = 5 × 13 = 5¹ × 13¹

78 = 2 × 3 × 13 = 2¹ × 3¹ × 13¹



$<b>Step II :</b>$ $<u>Choose the number from the Prime Factorisation which has the highest power among itself.</u>$

As we can see,

Highest Power of 2 = 1

Highest Power of 3 = 2

Highest Power of 5 = 1

Highest Power of 13 = 1



$\therefore$



LCM ( 30, 45, 65, 78 ) = 2 × 3² × 5 × 13 = 1170



$<u>Hence, the LCM is</u>$ $<b><u><I> 1170.</u></b></I>$