Least Common Multiple of 10/732, 82/101, 376/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/732, 82/101, 376/145 quickly i.e. 77080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/732, 82/101, 376/145 is 77080.

LCM(10/732, 82/101, 376/145) = 77080

LCM of 10/732, 82/101, 376/145

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 10/732,82/101,376/145

Given numbers are 10/732,82/101,376/145

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 10,82,376

Least Common Multiple of Numerators i.e. LCM of 10,82,376 is 77080.

GCF of Denominators means GCF of 732,101,145 as per the given fractions.

GCF of 732,101,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,82,376

LCM of Fractions 10/732,82/101,376/145 is 77080

2 10, 82, 376
5, 41, 188

∴ So the LCM of the given numbers is 2 x 5 x 41 x 188 = 77080

Least Common Multiple of 10,82,376 with GCF Formula

Least Common Multiple of 10,82,376 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 10,82,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,82,376) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,82,376) x common factors =2 x 2 = 4

LCM(10,82,376) = ( 10 × 82 × 376 ) / 4

LCM(10,82,376) = 308320 / 4

LCM(10,82,376) = 77080


Lets's calculate GCF of 732,101,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77080/1

Therefore the LCM of Fractions 10/732,82/101,376/145 is 77080

Greatest Common Factor of 732,101,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,101,145 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 732,101,145 . The biggest common factor number is the GCF number.
So the greatest common factor 732,101,145 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 10/732, 82/101, 376/145

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 10/732, 82/101, 376/145?

Answer: LCM of Numerators as per given numbers 10/732, 82/101, 376/145 is

LCM of Numerators i.e. for 10,82,376 is 77080

GCF of denominators i.e. for 732,101,145 is 1.

Thus, LCM of Fractions is 77080.Finally, LCM of Fractions for 10/732, 82/101, 376/145 is 77080.