Least Common Multiple of 705/630, 842/420, 838/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/630, 842/420, 838/458 quickly i.e. 124361295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/630, 842/420, 838/458 is 124361295.

LCM(705/630, 842/420, 838/458) = 124361295

LCM of 705/630, 842/420, 838/458

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 705/630,842/420,838/458

Given numbers are 705/630,842/420,838/458

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 705,842,838

Least Common Multiple of Numerators i.e. LCM of 705,842,838 is 248722590.

GCF of Denominators means GCF of 630,420,458 as per the given fractions.

GCF of 630,420,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,842,838

LCM of Fractions 705/630,842/420,838/458 is 124361295

2 705, 842, 838
705, 421, 419

∴ So the LCM of the given numbers is 2 x 705 x 421 x 419 = 248722590

Least Common Multiple of 705,842,838 with GCF Formula

Least Common Multiple of 705,842,838 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 705,842,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,842,838) = 1

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

GCF(705,842,838) x common factors =1 x 2 = 2

LCM(705,842,838) = ( 705 × 842 × 838 ) / 2

LCM(705,842,838) = 497445180 / 2

LCM(705,842,838) = 248722590


Lets's calculate GCF of 630,420,458

2 630, 420, 458
315, 210, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248722590/2

Therefore the LCM of Fractions 705/630,842/420,838/458 is 124361295

Greatest Common Factor of 630,420,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,420,458 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 630,420,458 . The biggest common factor number is the GCF number.
So the greatest common factor 630,420,458 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 705/630, 842/420, 838/458

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 705/630, 842/420, 838/458?

Answer: LCM of Numerators as per given numbers 705/630, 842/420, 838/458 is

LCM of Numerators i.e. for 705,842,838 is 248722590

GCF of denominators i.e. for 630,420,458 is 2.

Thus, LCM of Fractions is 124361295.Finally, LCM of Fractions for 705/630, 842/420, 838/458 is 124361295.