Least Common Multiple of 358/897, 449/766, 534/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 358/897, 449/766, 534/742 quickly i.e. 42918114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/897, 449/766, 534/742 is 42918114.

LCM(358/897, 449/766, 534/742) = 42918114

LCM of 358/897, 449/766, 534/742

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 358/897,449/766,534/742

Given numbers are 358/897,449/766,534/742

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 358,449,534

Least Common Multiple of Numerators i.e. LCM of 358,449,534 is 42918114.

GCF of Denominators means GCF of 897,766,742 as per the given fractions.

GCF of 897,766,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,449,534

LCM of Fractions 358/897,449/766,534/742 is 42918114

2 358, 449, 534
179, 449, 267

∴ So the LCM of the given numbers is 2 x 179 x 449 x 267 = 42918114

Least Common Multiple of 358,449,534 with GCF Formula

Least Common Multiple of 358,449,534 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 358,449,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,449,534) = 1

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

GCF(358,449,534) x common factors =1 x 2 = 2

LCM(358,449,534) = ( 358 × 449 × 534 ) / 2

LCM(358,449,534) = 85836228 / 2

LCM(358,449,534) = 42918114


Lets's calculate GCF of 897,766,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42918114/1

Therefore the LCM of Fractions 358/897,449/766,534/742 is 42918114

Greatest Common Factor of 897,766,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,766,742 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 897,766,742 . The biggest common factor number is the GCF number.
So the greatest common factor 897,766,742 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 358/897, 449/766, 534/742

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 358/897, 449/766, 534/742?

Answer: LCM of Numerators as per given numbers 358/897, 449/766, 534/742 is

LCM of Numerators i.e. for 358,449,534 is 42918114

GCF of denominators i.e. for 897,766,742 is 1.

Thus, LCM of Fractions is 42918114.Finally, LCM of Fractions for 358/897, 449/766, 534/742 is 42918114.