Least Common Multiple of 74/888, 1890/8680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/888, 1890/8680 quickly i.e. 69930/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/888, 1890/8680 is 69930/8.

LCM(74/888, 1890/8680) = 69930/8

LCM of 74/888, 1890/8680

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 74/888,1890/8680

Given numbers are 74/888,1890/8680

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 74,1890

Least Common Multiple of Numerators i.e. LCM of 74,1890 is 69930.

GCF of Denominators means GCF of 888,8680 as per the given fractions.

GCF of 888,8680 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,1890

LCM of Fractions 74/888,1890/8680 is 69930/8

2 74, 1890
37, 945

∴ So the LCM of the given numbers is 2 x 37 x 945 = 69930

Least Common Multiple of 74,1890 with GCF Formula

Least Common Multiple of 74,1890 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 74,1890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,1890) = 2

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

GCF(74,1890) x common factors =2 x 1 = 2

LCM(74,1890) = ( 74 × 1890 ) / 2

LCM(74,1890) = 139860 / 2

LCM(74,1890) = 69930


Lets's calculate GCF of 888,8680

2 888, 8680
2 444, 4340
2 222, 2170
111, 1085

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69930/8

Therefore the LCM of Fractions 74/888,1890/8680 is 69930/8

Greatest Common Factor of 888,8680 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,8680 By Matching Biggest Common Factor Method

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

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Greatest Common Factor

We found the factors 888,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 888,8680 is 8.


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 74/888, 1890/8680

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 74/888, 1890/8680?

Answer: LCM of Numerators as per given numbers 74/888, 1890/8680 is

LCM of Numerators i.e. for 74,1890 is 69930

GCF of denominators i.e. for 888,8680 is 8.

Thus, LCM of Fractions is 69930/8.Finally, LCM of Fractions for 74/888, 1890/8680 is 69930/8.