Least Common Multiple of 70/530, 2770/1653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/530, 2770/1653 quickly i.e. 19390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/530, 2770/1653 is 19390.

LCM(70/530, 2770/1653) = 19390

LCM of 70/530, 2770/1653

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 70/530,2770/1653

Given numbers are 70/530,2770/1653

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 70,2770

Least Common Multiple of Numerators i.e. LCM of 70,2770 is 19390.

GCF of Denominators means GCF of 530,1653 as per the given fractions.

GCF of 530,1653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,2770

LCM of Fractions 70/530,2770/1653 is 19390

2 70, 2770
5 35, 1385
7, 277

∴ So the LCM of the given numbers is 2 x 5 x 7 x 277 = 19390

Least Common Multiple of 70,2770 with GCF Formula

Least Common Multiple of 70,2770 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 70,2770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2770) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(70,2770) x common factors =10 x 1 = 10

LCM(70,2770) = ( 70 × 2770 ) / 10

LCM(70,2770) = 193900 / 10

LCM(70,2770) = 19390


Lets's calculate GCF of 530,1653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19390/1

Therefore the LCM of Fractions 70/530,2770/1653 is 19390

Greatest Common Factor of 530,1653 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,1653 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 1653

List of positive integer factors of 1653 that divides 1653 without a remainder.

1,3,19,29,57,87,551,1653

Greatest Common Factor

We found the factors 530,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 530,1653 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 70/530, 2770/1653

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 70/530, 2770/1653?

Answer: LCM of Numerators as per given numbers 70/530, 2770/1653 is

LCM of Numerators i.e. for 70,2770 is 19390

GCF of denominators i.e. for 530,1653 is 1.

Thus, LCM of Fractions is 19390.Finally, LCM of Fractions for 70/530, 2770/1653 is 19390.