Least Common Multiple of 782/45, 451/20, 870/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/45, 451/20, 870/610 quickly i.e. 30683334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/45, 451/20, 870/610 is 30683334.

LCM(782/45, 451/20, 870/610) = 30683334

LCM of 782/45, 451/20, 870/610

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 782/45,451/20,870/610

Given numbers are 782/45,451/20,870/610

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 782,451,870

Least Common Multiple of Numerators i.e. LCM of 782,451,870 is 153416670.

GCF of Denominators means GCF of 45,20,610 as per the given fractions.

GCF of 45,20,610 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,451,870

LCM of Fractions 782/45,451/20,870/610 is 30683334

2 782, 451, 870
391, 451, 435

∴ So the LCM of the given numbers is 2 x 391 x 451 x 435 = 153416670

Least Common Multiple of 782,451,870 with GCF Formula

Least Common Multiple of 782,451,870 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 782,451,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,451,870) = 1

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

GCF(782,451,870) x common factors =1 x 2 = 2

LCM(782,451,870) = ( 782 × 451 × 870 ) / 2

LCM(782,451,870) = 306833340 / 2

LCM(782,451,870) = 153416670


Lets's calculate GCF of 45,20,610

5 45, 20, 610
9, 4, 122

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153416670/5

Therefore the LCM of Fractions 782/45,451/20,870/610 is 30683334

Greatest Common Factor of 45,20,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,20,610 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 45,20,610 . The biggest common factor number is the GCF number.
So the greatest common factor 45,20,610 is 5.


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 782/45, 451/20, 870/610

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 782/45, 451/20, 870/610?

Answer: LCM of Numerators as per given numbers 782/45, 451/20, 870/610 is

LCM of Numerators i.e. for 782,451,870 is 153416670

GCF of denominators i.e. for 45,20,610 is 5.

Thus, LCM of Fractions is 30683334.Finally, LCM of Fractions for 782/45, 451/20, 870/610 is 30683334.