Least Common Multiple of 7931/462, 3114/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7931/462, 3114/550 quickly i.e. 1122597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7931/462, 3114/550 is 1122597.

LCM(7931/462, 3114/550) = 1122597

LCM of 7931/462, 3114/550

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 7931/462,3114/550

Given numbers are 7931/462,3114/550

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 7931,3114

Least Common Multiple of Numerators i.e. LCM of 7931,3114 is 24697134.

GCF of Denominators means GCF of 462,550 as per the given fractions.

GCF of 462,550 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7931,3114

LCM of Fractions 7931/462,3114/550 is 1122597

Given numbers has no common factors except 1. So, there LCM is their product i.e 24697134

Least Common Multiple of 7931,3114 with GCF Formula

Least Common Multiple of 7931,3114 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 7931,3114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7931,3114) = 1

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

GCF(7931,3114) x common factors =1 x 1 = 1

LCM(7931,3114) = ( 7931 × 3114 ) / 1

LCM(7931,3114) = 24697134 / 1

LCM(7931,3114) = 24697134


Lets's calculate GCF of 462,550

2 462, 550
11 231, 275
21, 25

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24697134/22

Therefore the LCM of Fractions 7931/462,3114/550 is 1122597

Greatest Common Factor of 462,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,550 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 462,550 . The biggest common factor number is the GCF number.
So the greatest common factor 462,550 is 22.


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 7931/462, 3114/550

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 7931/462, 3114/550?

Answer: LCM of Numerators as per given numbers 7931/462, 3114/550 is

LCM of Numerators i.e. for 7931,3114 is 24697134

GCF of denominators i.e. for 462,550 is 22.

Thus, LCM of Fractions is 1122597.Finally, LCM of Fractions for 7931/462, 3114/550 is 1122597.