Least Common Multiple of 1462/410, 5380/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1462/410, 5380/950 quickly i.e. 393278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1462/410, 5380/950 is 393278.

LCM(1462/410, 5380/950) = 393278

LCM of 1462/410, 5380/950

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 1462/410,5380/950

Given numbers are 1462/410,5380/950

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 1462,5380

Least Common Multiple of Numerators i.e. LCM of 1462,5380 is 3932780.

GCF of Denominators means GCF of 410,950 as per the given fractions.

GCF of 410,950 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1462,5380

LCM of Fractions 1462/410,5380/950 is 393278

2 1462, 5380
731, 2690

∴ So the LCM of the given numbers is 2 x 731 x 2690 = 3932780

Least Common Multiple of 1462,5380 with GCF Formula

Least Common Multiple of 1462,5380 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 1462,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1462,5380) = 2

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

GCF(1462,5380) x common factors =2 x 1 = 2

LCM(1462,5380) = ( 1462 × 5380 ) / 2

LCM(1462,5380) = 7865560 / 2

LCM(1462,5380) = 3932780


Lets's calculate GCF of 410,950

2 410, 950
5 205, 475
41, 95

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3932780/10

Therefore the LCM of Fractions 1462/410,5380/950 is 393278

Greatest Common Factor of 410,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,950 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 410,950 . The biggest common factor number is the GCF number.
So the greatest common factor 410,950 is 10.


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 1462/410, 5380/950

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 1462/410, 5380/950?

Answer: LCM of Numerators as per given numbers 1462/410, 5380/950 is

LCM of Numerators i.e. for 1462,5380 is 3932780

GCF of denominators i.e. for 410,950 is 10.

Thus, LCM of Fractions is 393278.Finally, LCM of Fractions for 1462/410, 5380/950 is 393278.