Least Common Multiple of 45/610, 23/858, 795/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/610, 23/858, 795/534 quickly i.e. 54855/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/610, 23/858, 795/534 is 54855/2.

LCM(45/610, 23/858, 795/534) = 54855/2

LCM of 45/610, 23/858, 795/534

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 45/610,23/858,795/534

Given numbers are 45/610,23/858,795/534

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 45,23,795

Least Common Multiple of Numerators i.e. LCM of 45,23,795 is 54855.

GCF of Denominators means GCF of 610,858,534 as per the given fractions.

GCF of 610,858,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,23,795

LCM of Fractions 45/610,23/858,795/534 is 54855/2

3 45, 23, 795
5 15, 23, 265
3, 23, 53

∴ So the LCM of the given numbers is 3 x 5 x 3 x 23 x 53 = 54855

Least Common Multiple of 45,23,795 with GCF Formula

Least Common Multiple of 45,23,795 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 45,23,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,23,795) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,23,795) x common factors =1 x 15 = 15

LCM(45,23,795) = ( 45 × 23 × 795 ) / 15

LCM(45,23,795) = 822825 / 15

LCM(45,23,795) = 54855


Lets's calculate GCF of 610,858,534

2 610, 858, 534
305, 429, 267

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54855/2

Therefore the LCM of Fractions 45/610,23/858,795/534 is 54855/2

Greatest Common Factor of 610,858,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,858,534 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 610,858,534 . The biggest common factor number is the GCF number.
So the greatest common factor 610,858,534 is 2.


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 45/610, 23/858, 795/534

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 45/610, 23/858, 795/534?

Answer: LCM of Numerators as per given numbers 45/610, 23/858, 795/534 is

LCM of Numerators i.e. for 45,23,795 is 54855

GCF of denominators i.e. for 610,858,534 is 2.

Thus, LCM of Fractions is 54855/2.Finally, LCM of Fractions for 45/610, 23/858, 795/534 is 54855/2.