Least Common Multiple of 610/120, 3746/4751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/120, 3746/4751 quickly i.e. 1142530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/120, 3746/4751 is 1142530.

LCM(610/120, 3746/4751) = 1142530

LCM of 610/120, 3746/4751

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 610/120,3746/4751

Given numbers are 610/120,3746/4751

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 610,3746

Least Common Multiple of Numerators i.e. LCM of 610,3746 is 1142530.

GCF of Denominators means GCF of 120,4751 as per the given fractions.

GCF of 120,4751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,3746

LCM of Fractions 610/120,3746/4751 is 1142530

2 610, 3746
305, 1873

∴ So the LCM of the given numbers is 2 x 305 x 1873 = 1142530

Least Common Multiple of 610,3746 with GCF Formula

Least Common Multiple of 610,3746 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 610,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,3746) = 2

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

GCF(610,3746) x common factors =2 x 1 = 2

LCM(610,3746) = ( 610 × 3746 ) / 2

LCM(610,3746) = 2285060 / 2

LCM(610,3746) = 1142530


Lets's calculate GCF of 120,4751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142530/1

Therefore the LCM of Fractions 610/120,3746/4751 is 1142530

Greatest Common Factor of 120,4751 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,4751 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 4751

List of positive integer factors of 4751 that divides 4751 without a remainder.

1,4751

Greatest Common Factor

We found the factors 120,4751 . The biggest common factor number is the GCF number.
So the greatest common factor 120,4751 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 610/120, 3746/4751

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 610/120, 3746/4751?

Answer: LCM of Numerators as per given numbers 610/120, 3746/4751 is

LCM of Numerators i.e. for 610,3746 is 1142530

GCF of denominators i.e. for 120,4751 is 1.

Thus, LCM of Fractions is 1142530.Finally, LCM of Fractions for 610/120, 3746/4751 is 1142530.