Least Common Multiple of 42/545, 890/84, 935/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/545, 890/84, 935/958 quickly i.e. 3495030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/545, 890/84, 935/958 is 3495030.

LCM(42/545, 890/84, 935/958) = 3495030

LCM of 42/545, 890/84, 935/958

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 42/545,890/84,935/958

Given numbers are 42/545,890/84,935/958

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 42,890,935

Least Common Multiple of Numerators i.e. LCM of 42,890,935 is 3495030.

GCF of Denominators means GCF of 545,84,958 as per the given fractions.

GCF of 545,84,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,890,935

LCM of Fractions 42/545,890/84,935/958 is 3495030

2 42, 890, 935
5 21, 445, 935
21, 89, 187

∴ So the LCM of the given numbers is 2 x 5 x 21 x 89 x 187 = 3495030

Least Common Multiple of 42,890,935 with GCF Formula

Least Common Multiple of 42,890,935 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 42,890,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,890,935) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(42,890,935) x common factors =1 x 10 = 10

LCM(42,890,935) = ( 42 × 890 × 935 ) / 10

LCM(42,890,935) = 34950300 / 10

LCM(42,890,935) = 3495030


Lets's calculate GCF of 545,84,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3495030/1

Therefore the LCM of Fractions 42/545,890/84,935/958 is 3495030

Greatest Common Factor of 545,84,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,84,958 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 545,84,958 . The biggest common factor number is the GCF number.
So the greatest common factor 545,84,958 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 42/545, 890/84, 935/958

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 42/545, 890/84, 935/958?

Answer: LCM of Numerators as per given numbers 42/545, 890/84, 935/958 is

LCM of Numerators i.e. for 42,890,935 is 3495030

GCF of denominators i.e. for 545,84,958 is 1.

Thus, LCM of Fractions is 3495030.Finally, LCM of Fractions for 42/545, 890/84, 935/958 is 3495030.