Least Common Multiple of 4644/810, 1210/2950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4644/810, 1210/2950 quickly i.e. 280962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4644/810, 1210/2950 is 280962.

LCM(4644/810, 1210/2950) = 280962

LCM of 4644/810, 1210/2950

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 4644/810,1210/2950

Given numbers are 4644/810,1210/2950

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 4644,1210

Least Common Multiple of Numerators i.e. LCM of 4644,1210 is 2809620.

GCF of Denominators means GCF of 810,2950 as per the given fractions.

GCF of 810,2950 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4644,1210

LCM of Fractions 4644/810,1210/2950 is 280962

2 4644, 1210
2322, 605

∴ So the LCM of the given numbers is 2 x 2322 x 605 = 2809620

Least Common Multiple of 4644,1210 with GCF Formula

Least Common Multiple of 4644,1210 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 4644,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4644,1210) = 2

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

GCF(4644,1210) x common factors =2 x 1 = 2

LCM(4644,1210) = ( 4644 × 1210 ) / 2

LCM(4644,1210) = 5619240 / 2

LCM(4644,1210) = 2809620


Lets's calculate GCF of 810,2950

2 810, 2950
5 405, 1475
81, 295

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2809620/10

Therefore the LCM of Fractions 4644/810,1210/2950 is 280962

Greatest Common Factor of 810,2950 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,2950 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1,2,5,10,25,50,59,118,295,590,1475,2950

Greatest Common Factor

We found the factors 810,2950 . The biggest common factor number is the GCF number.
So the greatest common factor 810,2950 is 10.


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 4644/810, 1210/2950

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 4644/810, 1210/2950?

Answer: LCM of Numerators as per given numbers 4644/810, 1210/2950 is

LCM of Numerators i.e. for 4644,1210 is 2809620

GCF of denominators i.e. for 810,2950 is 10.

Thus, LCM of Fractions is 280962.Finally, LCM of Fractions for 4644/810, 1210/2950 is 280962.