Least Common Multiple of 3400/528, 5698/4890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3400/528, 5698/4890 quickly i.e. 9686600/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3400/528, 5698/4890 is 9686600/6.

LCM(3400/528, 5698/4890) = 9686600/6

LCM of 3400/528, 5698/4890

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 3400/528,5698/4890

Given numbers are 3400/528,5698/4890

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 3400,5698

Least Common Multiple of Numerators i.e. LCM of 3400,5698 is 9686600.

GCF of Denominators means GCF of 528,4890 as per the given fractions.

GCF of 528,4890 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3400,5698

LCM of Fractions 3400/528,5698/4890 is 9686600/6

2 3400, 5698
1700, 2849

∴ So the LCM of the given numbers is 2 x 1700 x 2849 = 9686600

Least Common Multiple of 3400,5698 with GCF Formula

Least Common Multiple of 3400,5698 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 3400,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3400,5698) = 2

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

GCF(3400,5698) x common factors =2 x 1 = 2

LCM(3400,5698) = ( 3400 × 5698 ) / 2

LCM(3400,5698) = 19373200 / 2

LCM(3400,5698) = 9686600


Lets's calculate GCF of 528,4890

2 528, 4890
3 264, 2445
88, 815

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9686600/6

Therefore the LCM of Fractions 3400/528,5698/4890 is 9686600/6

Greatest Common Factor of 528,4890 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,4890 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Greatest Common Factor

We found the factors 528,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 528,4890 is 6.


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 3400/528, 5698/4890

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 3400/528, 5698/4890?

Answer: LCM of Numerators as per given numbers 3400/528, 5698/4890 is

LCM of Numerators i.e. for 3400,5698 is 9686600

GCF of denominators i.e. for 528,4890 is 6.

Thus, LCM of Fractions is 9686600/6.Finally, LCM of Fractions for 3400/528, 5698/4890 is 9686600/6.