Question

find the l.c.m and h.c.f of 1365,1560 and 1755

Answer 1

1365 = 5*3*7*13
1560 = 5*2*2*2*3*13
1755 = 5*3*3*3*13

so LCM = 2³x3³x5¹x7¹x13¹ = 98280
and HCF = 2°x3¹x5¹x7°x13¹ = 195

Answer 2

Answer:

$HCF(1365,1560,1755)=195$

$LCM(1365,1560,1755)=98280$

Step-by-step explanation:

To find : HCF and LCM of  1365,1560 and 1755 ?

Solution :

Factorize the numbers  1365,1560 and 1755,

$1365=3\times5\times 7\times 13$

$1560=2\times 2\times2\times 3\times 5\times 13$

$1755=3\times 3 \times3\times 5\times 13$

HCF is the highest common factor the number common in both,

$HCF(1365,1560,1755)=3\times 5\times 13$

$HCF(1365,1560,1755)=195$

LCM is the least common factor the number common in both and left numbers,

$LCM(1365,1560,1755)=3\times 5\times 13\times 7\times 2\times 2\times2\times 3\times 3$

$LCM(1365,1560,1755)=98280$

Therefore, HCF and LCM of numbers 1365,1560 and 1755 are 195 and 98280 respectively.