Least Common Multiple of 3498/975, 9314/6910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3498/975, 9314/6910 quickly i.e. 16290186/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3498/975, 9314/6910 is 16290186/5.

LCM(3498/975, 9314/6910) = 16290186/5

LCM of 3498/975, 9314/6910

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 3498/975,9314/6910

Given numbers are 3498/975,9314/6910

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 3498,9314

Least Common Multiple of Numerators i.e. LCM of 3498,9314 is 16290186.

GCF of Denominators means GCF of 975,6910 as per the given fractions.

GCF of 975,6910 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3498,9314

LCM of Fractions 3498/975,9314/6910 is 16290186/5

2 3498, 9314
1749, 4657

∴ So the LCM of the given numbers is 2 x 1749 x 4657 = 16290186

Least Common Multiple of 3498,9314 with GCF Formula

Least Common Multiple of 3498,9314 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 3498,9314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3498,9314) = 2

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

GCF(3498,9314) x common factors =2 x 1 = 2

LCM(3498,9314) = ( 3498 × 9314 ) / 2

LCM(3498,9314) = 32580372 / 2

LCM(3498,9314) = 16290186


Lets's calculate GCF of 975,6910

5 975, 6910
195, 1382

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16290186/5

Therefore the LCM of Fractions 3498/975,9314/6910 is 16290186/5

Greatest Common Factor of 975,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,6910 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 975,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 975,6910 is 5.


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 3498/975, 9314/6910

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 3498/975, 9314/6910?

Answer: LCM of Numerators as per given numbers 3498/975, 9314/6910 is

LCM of Numerators i.e. for 3498,9314 is 16290186

GCF of denominators i.e. for 975,6910 is 5.

Thus, LCM of Fractions is 16290186/5.Finally, LCM of Fractions for 3498/975, 9314/6910 is 16290186/5.