Least Common Multiple of 58/630, 842/140, 662/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/630, 842/140, 662/112 quickly i.e. 8082358/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/630, 842/140, 662/112 is 8082358/14.

LCM(58/630, 842/140, 662/112) = 8082358/14

LCM of 58/630, 842/140, 662/112

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 58/630,842/140,662/112

Given numbers are 58/630,842/140,662/112

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 58,842,662

Least Common Multiple of Numerators i.e. LCM of 58,842,662 is 8082358.

GCF of Denominators means GCF of 630,140,112 as per the given fractions.

GCF of 630,140,112 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,842,662

LCM of Fractions 58/630,842/140,662/112 is 8082358/14

2 58, 842, 662
29, 421, 331

∴ So the LCM of the given numbers is 2 x 29 x 421 x 331 = 8082358

Least Common Multiple of 58,842,662 with GCF Formula

Least Common Multiple of 58,842,662 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 58,842,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,842,662) = 2

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

GCF(58,842,662) x common factors =2 x 2 = 4

LCM(58,842,662) = ( 58 × 842 × 662 ) / 4

LCM(58,842,662) = 32329432 / 4

LCM(58,842,662) = 8082358


Lets's calculate GCF of 630,140,112

2 630, 140, 112
7 315, 70, 56
45, 10, 8

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8082358/14

Therefore the LCM of Fractions 58/630,842/140,662/112 is 8082358/14

Greatest Common Factor of 630,140,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,140,112 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 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 630,140,112 . The biggest common factor number is the GCF number.
So the greatest common factor 630,140,112 is 14.


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 58/630, 842/140, 662/112

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 58/630, 842/140, 662/112?

Answer: LCM of Numerators as per given numbers 58/630, 842/140, 662/112 is

LCM of Numerators i.e. for 58,842,662 is 8082358

GCF of denominators i.e. for 630,140,112 is 14.

Thus, LCM of Fractions is 8082358/14.Finally, LCM of Fractions for 58/630, 842/140, 662/112 is 8082358/14.