Least Common Multiple of 3220/761, 4900/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3220/761, 4900/909 quickly i.e. 112700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3220/761, 4900/909 is 112700.

LCM(3220/761, 4900/909) = 112700

LCM of 3220/761, 4900/909

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 3220/761,4900/909

Given numbers are 3220/761,4900/909

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 3220,4900

Least Common Multiple of Numerators i.e. LCM of 3220,4900 is 112700.

GCF of Denominators means GCF of 761,909 as per the given fractions.

GCF of 761,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3220,4900

LCM of Fractions 3220/761,4900/909 is 112700

2 3220, 4900
2 1610, 2450
5 805, 1225
7 161, 245
23, 35

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 23 x 35 = 112700

Least Common Multiple of 3220,4900 with GCF Formula

Least Common Multiple of 3220,4900 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 3220,4900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3220,4900) = 140

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

GCF(3220,4900) x common factors =140 x 1 = 140

LCM(3220,4900) = ( 3220 × 4900 ) / 140

LCM(3220,4900) = 15778000 / 140

LCM(3220,4900) = 112700


Lets's calculate GCF of 761,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112700/1

Therefore the LCM of Fractions 3220/761,4900/909 is 112700

Greatest Common Factor of 761,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,909 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 761,909 . The biggest common factor number is the GCF number.
So the greatest common factor 761,909 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 3220/761, 4900/909

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 3220/761, 4900/909?

Answer: LCM of Numerators as per given numbers 3220/761, 4900/909 is

LCM of Numerators i.e. for 3220,4900 is 112700

GCF of denominators i.e. for 761,909 is 1.

Thus, LCM of Fractions is 112700.Finally, LCM of Fractions for 3220/761, 4900/909 is 112700.