Least Common Multiple of 42/556, 353/395, 511/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/556, 353/395, 511/914 quickly i.e. 1082298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/556, 353/395, 511/914 is 1082298.

LCM(42/556, 353/395, 511/914) = 1082298

LCM of 42/556, 353/395, 511/914

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 42/556,353/395,511/914

Given numbers are 42/556,353/395,511/914

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 42,353,511

Least Common Multiple of Numerators i.e. LCM of 42,353,511 is 1082298.

GCF of Denominators means GCF of 556,395,914 as per the given fractions.

GCF of 556,395,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,353,511

LCM of Fractions 42/556,353/395,511/914 is 1082298

7 42, 353, 511
6, 353, 73

∴ So the LCM of the given numbers is 7 x 6 x 353 x 73 = 1082298

Least Common Multiple of 42,353,511 with GCF Formula

Least Common Multiple of 42,353,511 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 42,353,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,353,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,353,511) x common factors =1 x 7 = 7

LCM(42,353,511) = ( 42 × 353 × 511 ) / 7

LCM(42,353,511) = 7576086 / 7

LCM(42,353,511) = 1082298


Lets's calculate GCF of 556,395,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1082298/1

Therefore the LCM of Fractions 42/556,353/395,511/914 is 1082298

Greatest Common Factor of 556,395,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,395,914 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 556,395,914 . The biggest common factor number is the GCF number.
So the greatest common factor 556,395,914 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 42/556, 353/395, 511/914

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 42/556, 353/395, 511/914?

Answer: LCM of Numerators as per given numbers 42/556, 353/395, 511/914 is

LCM of Numerators i.e. for 42,353,511 is 1082298

GCF of denominators i.e. for 556,395,914 is 1.

Thus, LCM of Fractions is 1082298.Finally, LCM of Fractions for 42/556, 353/395, 511/914 is 1082298.