Least Common Multiple of 77/630, 2879/2634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/630, 2879/2634 quickly i.e. 221683/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/630, 2879/2634 is 221683/6.

LCM(77/630, 2879/2634) = 221683/6

LCM of 77/630, 2879/2634

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 77/630,2879/2634

Given numbers are 77/630,2879/2634

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 77,2879

Least Common Multiple of Numerators i.e. LCM of 77,2879 is 221683.

GCF of Denominators means GCF of 630,2634 as per the given fractions.

GCF of 630,2634 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,2879

LCM of Fractions 77/630,2879/2634 is 221683/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 221683

Least Common Multiple of 77,2879 with GCF Formula

Least Common Multiple of 77,2879 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 77,2879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,2879) = 1

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

GCF(77,2879) x common factors =1 x 1 = 1

LCM(77,2879) = ( 77 × 2879 ) / 1

LCM(77,2879) = 221683 / 1

LCM(77,2879) = 221683


Lets's calculate GCF of 630,2634

2 630, 2634
3 315, 1317
105, 439

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221683/6

Therefore the LCM of Fractions 77/630,2879/2634 is 221683/6

Greatest Common Factor of 630,2634 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,2634 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 2634

List of positive integer factors of 2634 that divides 2634 without a remainder.

1,2,3,6,439,878,1317,2634

Greatest Common Factor

We found the factors 630,2634 . The biggest common factor number is the GCF number.
So the greatest common factor 630,2634 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/630, 2879/2634

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 77/630, 2879/2634?

Answer: LCM of Numerators as per given numbers 77/630, 2879/2634 is

LCM of Numerators i.e. for 77,2879 is 221683

GCF of denominators i.e. for 630,2634 is 6.

Thus, LCM of Fractions is 221683/6.Finally, LCM of Fractions for 77/630, 2879/2634 is 221683/6.