Least Common Multiple of 70/424, 541/787, 206/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/424, 541/787, 206/442 quickly i.e. 3900610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/424, 541/787, 206/442 is 3900610.

LCM(70/424, 541/787, 206/442) = 3900610

LCM of 70/424, 541/787, 206/442

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 70/424,541/787,206/442

Given numbers are 70/424,541/787,206/442

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 70,541,206

Least Common Multiple of Numerators i.e. LCM of 70,541,206 is 3900610.

GCF of Denominators means GCF of 424,787,442 as per the given fractions.

GCF of 424,787,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,541,206

LCM of Fractions 70/424,541/787,206/442 is 3900610

2 70, 541, 206
35, 541, 103

∴ So the LCM of the given numbers is 2 x 35 x 541 x 103 = 3900610

Least Common Multiple of 70,541,206 with GCF Formula

Least Common Multiple of 70,541,206 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 70,541,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,541,206) = 1

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

GCF(70,541,206) x common factors =1 x 2 = 2

LCM(70,541,206) = ( 70 × 541 × 206 ) / 2

LCM(70,541,206) = 7801220 / 2

LCM(70,541,206) = 3900610


Lets's calculate GCF of 424,787,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3900610/1

Therefore the LCM of Fractions 70/424,541/787,206/442 is 3900610

Greatest Common Factor of 424,787,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,787,442 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 424,787,442 . The biggest common factor number is the GCF number.
So the greatest common factor 424,787,442 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 70/424, 541/787, 206/442

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 70/424, 541/787, 206/442?

Answer: LCM of Numerators as per given numbers 70/424, 541/787, 206/442 is

LCM of Numerators i.e. for 70,541,206 is 3900610

GCF of denominators i.e. for 424,787,442 is 1.

Thus, LCM of Fractions is 3900610.Finally, LCM of Fractions for 70/424, 541/787, 206/442 is 3900610.