Least Common Multiple of 362/101, 4749/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/101, 4749/909 quickly i.e. 1719138/101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/101, 4749/909 is 1719138/101.

LCM(362/101, 4749/909) = 1719138/101

LCM of 362/101, 4749/909

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 362/101,4749/909

Given numbers are 362/101,4749/909

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 362,4749

Least Common Multiple of Numerators i.e. LCM of 362,4749 is 1719138.

GCF of Denominators means GCF of 101,909 as per the given fractions.

GCF of 101,909 is 101 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,4749

LCM of Fractions 362/101,4749/909 is 1719138/101

Given numbers has no common factors except 1. So, there LCM is their product i.e 1719138

Least Common Multiple of 362,4749 with GCF Formula

Least Common Multiple of 362,4749 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 362,4749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,4749) = 1

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

GCF(362,4749) x common factors =1 x 1 = 1

LCM(362,4749) = ( 362 × 4749 ) / 1

LCM(362,4749) = 1719138 / 1

LCM(362,4749) = 1719138


Lets's calculate GCF of 101,909

101 101, 909
1, 9

∴ So the GCF of the given numbers is 101 = 101

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1719138/101

Therefore the LCM of Fractions 362/101,4749/909 is 1719138/101

Greatest Common Factor of 101,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,909 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

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 101,909 . The biggest common factor number is the GCF number.
So the greatest common factor 101,909 is 101.


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 362/101, 4749/909

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 362/101, 4749/909?

Answer: LCM of Numerators as per given numbers 362/101, 4749/909 is

LCM of Numerators i.e. for 362,4749 is 1719138

GCF of denominators i.e. for 101,909 is 101.

Thus, LCM of Fractions is 1719138/101.Finally, LCM of Fractions for 362/101, 4749/909 is 1719138/101.