Least Common Multiple of 6278/629, 7568/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6278/629, 7568/888 quickly i.e. 552464/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6278/629, 7568/888 is 552464/37.

LCM(6278/629, 7568/888) = 552464/37

LCM of 6278/629, 7568/888

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6278/629,7568/888

Given numbers are 6278/629,7568/888

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6278,7568

Least Common Multiple of Numerators i.e. LCM of 6278,7568 is 552464.

GCF of Denominators means GCF of 629,888 as per the given fractions.

GCF of 629,888 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6278,7568

LCM of Fractions 6278/629,7568/888 is 552464/37

2 6278, 7568
43 3139, 3784
73, 88

∴ So the LCM of the given numbers is 2 x 43 x 73 x 88 = 552464

Least Common Multiple of 6278,7568 with GCF Formula

Least Common Multiple of 6278,7568 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6278,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6278,7568) = 86

common factors(in case of two or more numbers have common factors) = 1

GCF(6278,7568) x common factors =86 x 1 = 86

LCM(6278,7568) = ( 6278 × 7568 ) / 86

LCM(6278,7568) = 47511904 / 86

LCM(6278,7568) = 552464


Lets's calculate GCF of 629,888

37 629, 888
17, 24

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552464/37

Therefore the LCM of Fractions 6278/629,7568/888 is 552464/37

Greatest Common Factor of 629,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,888 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 629,888 . The biggest common factor number is the GCF number.
So the greatest common factor 629,888 is 37.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6278/629, 7568/888

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6278/629, 7568/888?

Answer: LCM of Numerators as per given numbers 6278/629, 7568/888 is

LCM of Numerators i.e. for 6278,7568 is 552464

GCF of denominators i.e. for 629,888 is 37.

Thus, LCM of Fractions is 552464/37.Finally, LCM of Fractions for 6278/629, 7568/888 is 552464/37.