Least Common Multiple of 6955/19, 2568/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6955/19, 2568/684 quickly i.e. 166920/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6955/19, 2568/684 is 166920/19.

LCM(6955/19, 2568/684) = 166920/19

LCM of 6955/19, 2568/684

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 6955/19,2568/684

Given numbers are 6955/19,2568/684

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 6955,2568

Least Common Multiple of Numerators i.e. LCM of 6955,2568 is 166920.

GCF of Denominators means GCF of 19,684 as per the given fractions.

GCF of 19,684 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6955,2568

LCM of Fractions 6955/19,2568/684 is 166920/19

107 6955, 2568
65, 24

∴ So the LCM of the given numbers is 107 x 65 x 24 = 166920

Least Common Multiple of 6955,2568 with GCF Formula

Least Common Multiple of 6955,2568 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 6955,2568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6955,2568) = 107

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

GCF(6955,2568) x common factors =107 x 1 = 107

LCM(6955,2568) = ( 6955 × 2568 ) / 107

LCM(6955,2568) = 17860440 / 107

LCM(6955,2568) = 166920


Lets's calculate GCF of 19,684

19 19, 684
1, 36

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166920/19

Therefore the LCM of Fractions 6955/19,2568/684 is 166920/19

Greatest Common Factor of 19,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,684 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 19,684 . The biggest common factor number is the GCF number.
So the greatest common factor 19,684 is 19.


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 6955/19, 2568/684

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 6955/19, 2568/684?

Answer: LCM of Numerators as per given numbers 6955/19, 2568/684 is

LCM of Numerators i.e. for 6955,2568 is 166920

GCF of denominators i.e. for 19,684 is 19.

Thus, LCM of Fractions is 166920/19.Finally, LCM of Fractions for 6955/19, 2568/684 is 166920/19.