Least Common Multiple of 825/677, 7604/1770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/677, 7604/1770 quickly i.e. 6273300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/677, 7604/1770 is 6273300.

LCM(825/677, 7604/1770) = 6273300

LCM of 825/677, 7604/1770

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 825/677,7604/1770

Given numbers are 825/677,7604/1770

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 825,7604

Least Common Multiple of Numerators i.e. LCM of 825,7604 is 6273300.

GCF of Denominators means GCF of 677,1770 as per the given fractions.

GCF of 677,1770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,7604

LCM of Fractions 825/677,7604/1770 is 6273300

Given numbers has no common factors except 1. So, there LCM is their product i.e 6273300

Least Common Multiple of 825,7604 with GCF Formula

Least Common Multiple of 825,7604 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 825,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,7604) = 1

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

GCF(825,7604) x common factors =1 x 1 = 1

LCM(825,7604) = ( 825 × 7604 ) / 1

LCM(825,7604) = 6273300 / 1

LCM(825,7604) = 6273300


Lets's calculate GCF of 677,1770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6273300/1

Therefore the LCM of Fractions 825/677,7604/1770 is 6273300

Greatest Common Factor of 677,1770 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,1770 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Greatest Common Factor

We found the factors 677,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 677,1770 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 825/677, 7604/1770

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 825/677, 7604/1770?

Answer: LCM of Numerators as per given numbers 825/677, 7604/1770 is

LCM of Numerators i.e. for 825,7604 is 6273300

GCF of denominators i.e. for 677,1770 is 1.

Thus, LCM of Fractions is 6273300.Finally, LCM of Fractions for 825/677, 7604/1770 is 6273300.