Least Common Multiple of 465/377, 3160/5042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 465/377, 3160/5042 quickly i.e. 293880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/377, 3160/5042 is 293880.

LCM(465/377, 3160/5042) = 293880

LCM of 465/377, 3160/5042

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 465/377,3160/5042

Given numbers are 465/377,3160/5042

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 465,3160

Least Common Multiple of Numerators i.e. LCM of 465,3160 is 293880.

GCF of Denominators means GCF of 377,5042 as per the given fractions.

GCF of 377,5042 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,3160

LCM of Fractions 465/377,3160/5042 is 293880

5 465, 3160
93, 632

∴ So the LCM of the given numbers is 5 x 93 x 632 = 293880

Least Common Multiple of 465,3160 with GCF Formula

Least Common Multiple of 465,3160 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 465,3160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,3160) = 5

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

GCF(465,3160) x common factors =5 x 1 = 5

LCM(465,3160) = ( 465 × 3160 ) / 5

LCM(465,3160) = 1469400 / 5

LCM(465,3160) = 293880


Lets's calculate GCF of 377,5042

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293880/1

Therefore the LCM of Fractions 465/377,3160/5042 is 293880

Greatest Common Factor of 377,5042 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,5042 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1,2,2521,5042

Greatest Common Factor

We found the factors 377,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 377,5042 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 465/377, 3160/5042

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 465/377, 3160/5042?

Answer: LCM of Numerators as per given numbers 465/377, 3160/5042 is

LCM of Numerators i.e. for 465,3160 is 293880

GCF of denominators i.e. for 377,5042 is 1.

Thus, LCM of Fractions is 293880.Finally, LCM of Fractions for 465/377, 3160/5042 is 293880.