Least Common Multiple of 140/19, 508/77, 585/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/19, 508/77, 585/662 quickly i.e. 2080260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/19, 508/77, 585/662 is 2080260.

LCM(140/19, 508/77, 585/662) = 2080260

LCM of 140/19, 508/77, 585/662

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 140/19,508/77,585/662

Given numbers are 140/19,508/77,585/662

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 140,508,585

Least Common Multiple of Numerators i.e. LCM of 140,508,585 is 2080260.

GCF of Denominators means GCF of 19,77,662 as per the given fractions.

GCF of 19,77,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,508,585

LCM of Fractions 140/19,508/77,585/662 is 2080260

2 140, 508, 585
2 70, 254, 585
5 35, 127, 585
7, 127, 117

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 127 x 117 = 2080260

Least Common Multiple of 140,508,585 with GCF Formula

Least Common Multiple of 140,508,585 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 140,508,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,508,585) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(140,508,585) x common factors =1 x 20 = 20

LCM(140,508,585) = ( 140 × 508 × 585 ) / 20

LCM(140,508,585) = 41605200 / 20

LCM(140,508,585) = 2080260


Lets's calculate GCF of 19,77,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080260/1

Therefore the LCM of Fractions 140/19,508/77,585/662 is 2080260

Greatest Common Factor of 19,77,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,77,662 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 19,77,662 . The biggest common factor number is the GCF number.
So the greatest common factor 19,77,662 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 140/19, 508/77, 585/662

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 140/19, 508/77, 585/662?

Answer: LCM of Numerators as per given numbers 140/19, 508/77, 585/662 is

LCM of Numerators i.e. for 140,508,585 is 2080260

GCF of denominators i.e. for 19,77,662 is 1.

Thus, LCM of Fractions is 2080260.Finally, LCM of Fractions for 140/19, 508/77, 585/662 is 2080260.