Least Common Multiple of 407/965, 3850/5087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/965, 3850/5087 quickly i.e. 142450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/965, 3850/5087 is 142450.

LCM(407/965, 3850/5087) = 142450

LCM of 407/965, 3850/5087

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 407/965,3850/5087

Given numbers are 407/965,3850/5087

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 407,3850

Least Common Multiple of Numerators i.e. LCM of 407,3850 is 142450.

GCF of Denominators means GCF of 965,5087 as per the given fractions.

GCF of 965,5087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,3850

LCM of Fractions 407/965,3850/5087 is 142450

11 407, 3850
37, 350

∴ So the LCM of the given numbers is 11 x 37 x 350 = 142450

Least Common Multiple of 407,3850 with GCF Formula

Least Common Multiple of 407,3850 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 407,3850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,3850) = 11

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

GCF(407,3850) x common factors =11 x 1 = 11

LCM(407,3850) = ( 407 × 3850 ) / 11

LCM(407,3850) = 1566950 / 11

LCM(407,3850) = 142450


Lets's calculate GCF of 965,5087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142450/1

Therefore the LCM of Fractions 407/965,3850/5087 is 142450

Greatest Common Factor of 965,5087 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,5087 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1,5087

Greatest Common Factor

We found the factors 965,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 965,5087 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 407/965, 3850/5087

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 407/965, 3850/5087?

Answer: LCM of Numerators as per given numbers 407/965, 3850/5087 is

LCM of Numerators i.e. for 407,3850 is 142450

GCF of denominators i.e. for 965,5087 is 1.

Thus, LCM of Fractions is 142450.Finally, LCM of Fractions for 407/965, 3850/5087 is 142450.