Least Common Multiple of 6616/969, 7010/3407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6616/969, 7010/3407 quickly i.e. 23189080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6616/969, 7010/3407 is 23189080.

LCM(6616/969, 7010/3407) = 23189080

LCM of 6616/969, 7010/3407

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 6616/969,7010/3407

Given numbers are 6616/969,7010/3407

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 6616,7010

Least Common Multiple of Numerators i.e. LCM of 6616,7010 is 23189080.

GCF of Denominators means GCF of 969,3407 as per the given fractions.

GCF of 969,3407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6616,7010

LCM of Fractions 6616/969,7010/3407 is 23189080

2 6616, 7010
3308, 3505

∴ So the LCM of the given numbers is 2 x 3308 x 3505 = 23189080

Least Common Multiple of 6616,7010 with GCF Formula

Least Common Multiple of 6616,7010 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 6616,7010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6616,7010) = 2

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

GCF(6616,7010) x common factors =2 x 1 = 2

LCM(6616,7010) = ( 6616 × 7010 ) / 2

LCM(6616,7010) = 46378160 / 2

LCM(6616,7010) = 23189080


Lets's calculate GCF of 969,3407

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23189080/1

Therefore the LCM of Fractions 6616/969,7010/3407 is 23189080

Greatest Common Factor of 969,3407 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,3407 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 3407

List of positive integer factors of 3407 that divides 3407 without a remainder.

1,3407

Greatest Common Factor

We found the factors 969,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 969,3407 is 1.


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 6616/969, 7010/3407

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 6616/969, 7010/3407?

Answer: LCM of Numerators as per given numbers 6616/969, 7010/3407 is

LCM of Numerators i.e. for 6616,7010 is 23189080

GCF of denominators i.e. for 969,3407 is 1.

Thus, LCM of Fractions is 23189080.Finally, LCM of Fractions for 6616/969, 7010/3407 is 23189080.