H.c.f. Of 3240, 3600 And A Third Number Is 36 And Their L.c.m. Is 24x

1.	H.c.f. Of 3240, 3600 And A Third Number Is 36 And Their L.c.m. Is 24x 35 X 52 X 72 The Third Number Is?
Answer» 3240 = 23x 34x 5; 3600 = 24x32 X 52; H.C.F. = 36 = 22x32 SINCE H.C.F. is the PRODUCT of lowest powers of common factors, so the third number must have (22x32) as its factors Since L.C.M. is the product of highest powers of common prime factors, so the third number must have 35AND 72 as its factors. Third number = 22x35x72. 3240 = 23x 34x 5; 3600 = 24x32 x 52; H.C.F. = 36 = 22x32 Since H.C.F. is the product of lowest powers of common factors, so the third number must have (22x32) as its factors Since L.C.M. is the product of highest powers of common prime factors, so the third number must have 35and 72 as its factors. Third number = 22x35x72.

H.c.f. Of 3240, 3600 And A Third Number Is 36 And Their L.c.m. Is 24x 35 X 52 X 72 The Third Number Is?

Answer»

3240 = 23x 34x 5; 3600 = 24x32 X 52; H.C.F. = 36 = 22x32

SINCE H.C.F. is the PRODUCT of lowest powers of common factors,

so the third number must have (22x32) as its factors

Since L.C.M. is the product of highest powers of common prime factors,

so the third number must have 35AND 72 as its factors.

Third number = 22x35x72.

3240 = 23x 34x 5; 3600 = 24x32 x 52; H.C.F. = 36 = 22x32

Since H.C.F. is the product of lowest powers of common factors,

so the third number must have (22x32) as its factors

Since L.C.M. is the product of highest powers of common prime factors,

so the third number must have 35and 72 as its factors.

Third number = 22x35x72.