Least Common Multiple of 36/507, 98/514, 919/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/507, 98/514, 919/985 quickly i.e. 1621116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/507, 98/514, 919/985 is 1621116.

LCM(36/507, 98/514, 919/985) = 1621116

LCM of 36/507, 98/514, 919/985

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 36/507,98/514,919/985

Given numbers are 36/507,98/514,919/985

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 36,98,919

Least Common Multiple of Numerators i.e. LCM of 36,98,919 is 1621116.

GCF of Denominators means GCF of 507,514,985 as per the given fractions.

GCF of 507,514,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,98,919

LCM of Fractions 36/507,98/514,919/985 is 1621116

2 36, 98, 919
18, 49, 919

∴ So the LCM of the given numbers is 2 x 18 x 49 x 919 = 1621116

Least Common Multiple of 36,98,919 with GCF Formula

Least Common Multiple of 36,98,919 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 36,98,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,98,919) = 1

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

GCF(36,98,919) x common factors =1 x 2 = 2

LCM(36,98,919) = ( 36 × 98 × 919 ) / 2

LCM(36,98,919) = 3242232 / 2

LCM(36,98,919) = 1621116


Lets's calculate GCF of 507,514,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1621116/1

Therefore the LCM of Fractions 36/507,98/514,919/985 is 1621116

Greatest Common Factor of 507,514,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,514,985 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 507,514,985 . The biggest common factor number is the GCF number.
So the greatest common factor 507,514,985 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 36/507, 98/514, 919/985

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 36/507, 98/514, 919/985?

Answer: LCM of Numerators as per given numbers 36/507, 98/514, 919/985 is

LCM of Numerators i.e. for 36,98,919 is 1621116

GCF of denominators i.e. for 507,514,985 is 1.

Thus, LCM of Fractions is 1621116.Finally, LCM of Fractions for 36/507, 98/514, 919/985 is 1621116.