Least Common Multiple of 610/14, 632/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/14, 632/826 quickly i.e. 192760/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/14, 632/826 is 192760/14.

LCM(610/14, 632/826) = 192760/14

LCM of 610/14, 632/826

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 610/14,632/826

Given numbers are 610/14,632/826

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 610,632

Least Common Multiple of Numerators i.e. LCM of 610,632 is 192760.

GCF of Denominators means GCF of 14,826 as per the given fractions.

GCF of 14,826 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,632

LCM of Fractions 610/14,632/826 is 192760/14

2 610, 632
305, 316

∴ So the LCM of the given numbers is 2 x 305 x 316 = 192760

Least Common Multiple of 610,632 with GCF Formula

Least Common Multiple of 610,632 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 610,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,632) = 2

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

GCF(610,632) x common factors =2 x 1 = 2

LCM(610,632) = ( 610 × 632 ) / 2

LCM(610,632) = 385520 / 2

LCM(610,632) = 192760


Lets's calculate GCF of 14,826

2 14, 826
7 7, 413
1, 59

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192760/14

Therefore the LCM of Fractions 610/14,632/826 is 192760/14

Greatest Common Factor of 14,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,826 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 14,826 . The biggest common factor number is the GCF number.
So the greatest common factor 14,826 is 14.


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 610/14, 632/826

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 610/14, 632/826?

Answer: LCM of Numerators as per given numbers 610/14, 632/826 is

LCM of Numerators i.e. for 610,632 is 192760

GCF of denominators i.e. for 14,826 is 14.

Thus, LCM of Fractions is 192760/14.Finally, LCM of Fractions for 610/14, 632/826 is 192760/14.