Least Common Multiple of 31/22, 834/84, 950/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/22, 834/84, 950/650 quickly i.e. 6140325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/22, 834/84, 950/650 is 6140325.

LCM(31/22, 834/84, 950/650) = 6140325

LCM of 31/22, 834/84, 950/650

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 31/22,834/84,950/650

Given numbers are 31/22,834/84,950/650

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 31,834,950

Least Common Multiple of Numerators i.e. LCM of 31,834,950 is 12280650.

GCF of Denominators means GCF of 22,84,650 as per the given fractions.

GCF of 22,84,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,834,950

LCM of Fractions 31/22,834/84,950/650 is 6140325

2 31, 834, 950
31, 417, 475

∴ So the LCM of the given numbers is 2 x 31 x 417 x 475 = 12280650

Least Common Multiple of 31,834,950 with GCF Formula

Least Common Multiple of 31,834,950 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 31,834,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,834,950) = 1

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

GCF(31,834,950) x common factors =1 x 2 = 2

LCM(31,834,950) = ( 31 × 834 × 950 ) / 2

LCM(31,834,950) = 24561300 / 2

LCM(31,834,950) = 12280650


Lets's calculate GCF of 22,84,650

2 22, 84, 650
11, 42, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12280650/2

Therefore the LCM of Fractions 31/22,834/84,950/650 is 6140325

Greatest Common Factor of 22,84,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,84,650 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 22,84,650 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,650 is 2.


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 31/22, 834/84, 950/650

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 31/22, 834/84, 950/650?

Answer: LCM of Numerators as per given numbers 31/22, 834/84, 950/650 is

LCM of Numerators i.e. for 31,834,950 is 12280650

GCF of denominators i.e. for 22,84,650 is 2.

Thus, LCM of Fractions is 6140325.Finally, LCM of Fractions for 31/22, 834/84, 950/650 is 6140325.