Least Common Multiple of 70/55, 20/98, 40/71, 30/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/55, 20/98, 40/71, 30/505 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/55, 20/98, 40/71, 30/505 is 840.

LCM(70/55, 20/98, 40/71, 30/505) = 840

LCM of 70/55, 20/98, 40/71, 30/505

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 70/55,20/98,40/71,30/505

Given numbers are 70/55,20/98,40/71,30/505

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 70,20,40,30

Least Common Multiple of Numerators i.e. LCM of 70,20,40,30 is 840.

GCF of Denominators means GCF of 55,98,71,505 as per the given fractions.

GCF of 55,98,71,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,20,40,30

LCM of Fractions 70/55,20/98,40/71,30/505 is 840

2 70, 20, 40, 30
2 35, 10, 20, 15
5 35, 5, 10, 15
7, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 2 x 3 = 840

Least Common Multiple of 70,20,40,30 with GCF Formula

Least Common Multiple of 70,20,40,30 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 70,20,40,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,20,40,30) = 10

common factors(in case of two or more numbers have common factors) = 200

GCF(70,20,40,30) x common factors =10 x 200 = 2000

LCM(70,20,40,30) = ( 70 × 20 × 40 × 30 ) / 2000

LCM(70,20,40,30) = 1680000 / 2000

LCM(70,20,40,30) = 840


Lets's calculate GCF of 55,98,71,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/1

Therefore the LCM of Fractions 70/55,20/98,40/71,30/505 is 840

Greatest Common Factor of 55,98,71,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,98,71,505 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 55,98,71,505 . The biggest common factor number is the GCF number.
So the greatest common factor 55,98,71,505 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 70/55, 20/98, 40/71, 30/505

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 70/55, 20/98, 40/71, 30/505?

Answer: LCM of Numerators as per given numbers 70/55, 20/98, 40/71, 30/505 is

LCM of Numerators i.e. for 70,20,40,30 is 840

GCF of denominators i.e. for 55,98,71,505 is 1.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 70/55, 20/98, 40/71, 30/505 is 840.