Least Common Multiple of 19/980, 6678/6125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/980, 6678/6125 quickly i.e. 126882/245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/980, 6678/6125 is 126882/245.

LCM(19/980, 6678/6125) = 126882/245

LCM of 19/980, 6678/6125

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 19/980,6678/6125

Given numbers are 19/980,6678/6125

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 19,6678

Least Common Multiple of Numerators i.e. LCM of 19,6678 is 126882.

GCF of Denominators means GCF of 980,6125 as per the given fractions.

GCF of 980,6125 is 245 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,6678

LCM of Fractions 19/980,6678/6125 is 126882/245

Given numbers has no common factors except 1. So, there LCM is their product i.e 126882

Least Common Multiple of 19,6678 with GCF Formula

Least Common Multiple of 19,6678 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 19,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,6678) = 1

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

GCF(19,6678) x common factors =1 x 1 = 1

LCM(19,6678) = ( 19 × 6678 ) / 1

LCM(19,6678) = 126882 / 1

LCM(19,6678) = 126882


Lets's calculate GCF of 980,6125

5 980, 6125
7 196, 1225
7 28, 175
4, 25

∴ So the GCF of the given numbers is 5 x 7 x 7 = 245

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126882/245

Therefore the LCM of Fractions 19/980,6678/6125 is 126882/245

Greatest Common Factor of 980,6125 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,6125 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1,5,7,25,35,49,125,175,245,875,1225,6125

Greatest Common Factor

We found the factors 980,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 980,6125 is 245.


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 19/980, 6678/6125

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 19/980, 6678/6125?

Answer: LCM of Numerators as per given numbers 19/980, 6678/6125 is

LCM of Numerators i.e. for 19,6678 is 126882

GCF of denominators i.e. for 980,6125 is 245.

Thus, LCM of Fractions is 126882/245.Finally, LCM of Fractions for 19/980, 6678/6125 is 126882/245.