Least Common Multiple of 49/867, 537/312, 187/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/867, 537/312, 187/122 quickly i.e. 4920531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/867, 537/312, 187/122 is 4920531.

LCM(49/867, 537/312, 187/122) = 4920531

LCM of 49/867, 537/312, 187/122

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 49/867,537/312,187/122

Given numbers are 49/867,537/312,187/122

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 49,537,187

Least Common Multiple of Numerators i.e. LCM of 49,537,187 is 4920531.

GCF of Denominators means GCF of 867,312,122 as per the given fractions.

GCF of 867,312,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,537,187

LCM of Fractions 49/867,537/312,187/122 is 4920531

Given numbers has no common factors except 1. So, there LCM is their product i.e 4920531

Least Common Multiple of 49,537,187 with GCF Formula

Least Common Multiple of 49,537,187 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 49,537,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,537,187) = 1

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

GCF(49,537,187) x common factors =1 x 1 = 1

LCM(49,537,187) = ( 49 × 537 × 187 ) / 1

LCM(49,537,187) = 4920531 / 1

LCM(49,537,187) = 4920531


Lets's calculate GCF of 867,312,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4920531/1

Therefore the LCM of Fractions 49/867,537/312,187/122 is 4920531

Greatest Common Factor of 867,312,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,312,122 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 867,312,122 . The biggest common factor number is the GCF number.
So the greatest common factor 867,312,122 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 49/867, 537/312, 187/122

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 49/867, 537/312, 187/122?

Answer: LCM of Numerators as per given numbers 49/867, 537/312, 187/122 is

LCM of Numerators i.e. for 49,537,187 is 4920531

GCF of denominators i.e. for 867,312,122 is 1.

Thus, LCM of Fractions is 4920531.Finally, LCM of Fractions for 49/867, 537/312, 187/122 is 4920531.