Least Common Multiple of 167/11, 640/61, 786/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 167/11, 640/61, 786/50 quickly i.e. 42003840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/11, 640/61, 786/50 is 42003840.

LCM(167/11, 640/61, 786/50) = 42003840

LCM of 167/11, 640/61, 786/50

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 167/11,640/61,786/50

Given numbers are 167/11,640/61,786/50

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 167,640,786

Least Common Multiple of Numerators i.e. LCM of 167,640,786 is 42003840.

GCF of Denominators means GCF of 11,61,50 as per the given fractions.

GCF of 11,61,50 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,640,786

LCM of Fractions 167/11,640/61,786/50 is 42003840

2 167, 640, 786
167, 320, 393

∴ So the LCM of the given numbers is 2 x 167 x 320 x 393 = 42003840

Least Common Multiple of 167,640,786 with GCF Formula

Least Common Multiple of 167,640,786 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 167,640,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,640,786) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(167,640,786) x common factors =1 x 2 = 2

LCM(167,640,786) = ( 167 × 640 × 786 ) / 2

LCM(167,640,786) = 84007680 / 2

LCM(167,640,786) = 42003840


Lets's calculate GCF of 11,61,50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42003840/1

Therefore the LCM of Fractions 167/11,640/61,786/50 is 42003840

Greatest Common Factor of 11,61,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,61,50 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 61

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

1,61

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Greatest Common Factor

We found the factors 11,61,50 . The biggest common factor number is the GCF number.
So the greatest common factor 11,61,50 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 167/11, 640/61, 786/50

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 167/11, 640/61, 786/50?

Answer: LCM of Numerators as per given numbers 167/11, 640/61, 786/50 is

LCM of Numerators i.e. for 167,640,786 is 42003840

GCF of denominators i.e. for 11,61,50 is 1.

Thus, LCM of Fractions is 42003840.Finally, LCM of Fractions for 167/11, 640/61, 786/50 is 42003840.