Least Common Multiple of 514/486, 1955/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/486, 1955/986 quickly i.e. 502435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/486, 1955/986 is 502435.

LCM(514/486, 1955/986) = 502435

LCM of 514/486, 1955/986

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 514/486,1955/986

Given numbers are 514/486,1955/986

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 514,1955

Least Common Multiple of Numerators i.e. LCM of 514,1955 is 1004870.

GCF of Denominators means GCF of 486,986 as per the given fractions.

GCF of 486,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,1955

LCM of Fractions 514/486,1955/986 is 502435

Given numbers has no common factors except 1. So, there LCM is their product i.e 1004870

Least Common Multiple of 514,1955 with GCF Formula

Least Common Multiple of 514,1955 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 514,1955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,1955) = 1

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

GCF(514,1955) x common factors =1 x 1 = 1

LCM(514,1955) = ( 514 × 1955 ) / 1

LCM(514,1955) = 1004870 / 1

LCM(514,1955) = 1004870


Lets's calculate GCF of 486,986

2 486, 986
243, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1004870/2

Therefore the LCM of Fractions 514/486,1955/986 is 502435

Greatest Common Factor of 486,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,986 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 486,986 . The biggest common factor number is the GCF number.
So the greatest common factor 486,986 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 514/486, 1955/986

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 514/486, 1955/986?

Answer: LCM of Numerators as per given numbers 514/486, 1955/986 is

LCM of Numerators i.e. for 514,1955 is 1004870

GCF of denominators i.e. for 486,986 is 2.

Thus, LCM of Fractions is 502435.Finally, LCM of Fractions for 514/486, 1955/986 is 502435.