Least Common Multiple of 7780/25, 3110/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7780/25, 3110/706 quickly i.e. 2419580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7780/25, 3110/706 is 2419580.

LCM(7780/25, 3110/706) = 2419580

LCM of 7780/25, 3110/706

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 7780/25,3110/706

Given numbers are 7780/25,3110/706

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 7780,3110

Least Common Multiple of Numerators i.e. LCM of 7780,3110 is 2419580.

GCF of Denominators means GCF of 25,706 as per the given fractions.

GCF of 25,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7780,3110

LCM of Fractions 7780/25,3110/706 is 2419580

2 7780, 3110
5 3890, 1555
778, 311

∴ So the LCM of the given numbers is 2 x 5 x 778 x 311 = 2419580

Least Common Multiple of 7780,3110 with GCF Formula

Least Common Multiple of 7780,3110 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 7780,3110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7780,3110) = 10

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

GCF(7780,3110) x common factors =10 x 1 = 10

LCM(7780,3110) = ( 7780 × 3110 ) / 10

LCM(7780,3110) = 24195800 / 10

LCM(7780,3110) = 2419580


Lets's calculate GCF of 25,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2419580/1

Therefore the LCM of Fractions 7780/25,3110/706 is 2419580

Greatest Common Factor of 25,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,706 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 25,706 . The biggest common factor number is the GCF number.
So the greatest common factor 25,706 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 7780/25, 3110/706

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 7780/25, 3110/706?

Answer: LCM of Numerators as per given numbers 7780/25, 3110/706 is

LCM of Numerators i.e. for 7780,3110 is 2419580

GCF of denominators i.e. for 25,706 is 1.

Thus, LCM of Fractions is 2419580.Finally, LCM of Fractions for 7780/25, 3110/706 is 2419580.