Least Common Multiple of 49/61, 436/85, 205/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/61, 436/85, 205/351 quickly i.e. 4379620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/61, 436/85, 205/351 is 4379620.

LCM(49/61, 436/85, 205/351) = 4379620

LCM of 49/61, 436/85, 205/351

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 49/61,436/85,205/351

Given numbers are 49/61,436/85,205/351

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 49,436,205

Least Common Multiple of Numerators i.e. LCM of 49,436,205 is 4379620.

GCF of Denominators means GCF of 61,85,351 as per the given fractions.

GCF of 61,85,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,436,205

LCM of Fractions 49/61,436/85,205/351 is 4379620

Given numbers has no common factors except 1. So, there LCM is their product i.e 4379620

Least Common Multiple of 49,436,205 with GCF Formula

Least Common Multiple of 49,436,205 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 49,436,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,436,205) = 1

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

GCF(49,436,205) x common factors =1 x 1 = 1

LCM(49,436,205) = ( 49 × 436 × 205 ) / 1

LCM(49,436,205) = 4379620 / 1

LCM(49,436,205) = 4379620


Lets's calculate GCF of 61,85,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4379620/1

Therefore the LCM of Fractions 49/61,436/85,205/351 is 4379620

Greatest Common Factor of 61,85,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,85,351 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 61,85,351 . The biggest common factor number is the GCF number.
So the greatest common factor 61,85,351 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 49/61, 436/85, 205/351

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 49/61, 436/85, 205/351?

Answer: LCM of Numerators as per given numbers 49/61, 436/85, 205/351 is

LCM of Numerators i.e. for 49,436,205 is 4379620

GCF of denominators i.e. for 61,85,351 is 1.

Thus, LCM of Fractions is 4379620.Finally, LCM of Fractions for 49/61, 436/85, 205/351 is 4379620.