Least Common Multiple of 859/15, 780/34, 498/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 859/15, 780/34, 498/753 quickly i.e. 55611660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/15, 780/34, 498/753 is 55611660.

LCM(859/15, 780/34, 498/753) = 55611660

LCM of 859/15, 780/34, 498/753

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 859/15,780/34,498/753

Given numbers are 859/15,780/34,498/753

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 859,780,498

Least Common Multiple of Numerators i.e. LCM of 859,780,498 is 55611660.

GCF of Denominators means GCF of 15,34,753 as per the given fractions.

GCF of 15,34,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,780,498

LCM of Fractions 859/15,780/34,498/753 is 55611660

2 859, 780, 498
3 859, 390, 249
859, 130, 83

∴ So the LCM of the given numbers is 2 x 3 x 859 x 130 x 83 = 55611660

Least Common Multiple of 859,780,498 with GCF Formula

Least Common Multiple of 859,780,498 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 859,780,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,780,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(859,780,498) x common factors =1 x 6 = 6

LCM(859,780,498) = ( 859 × 780 × 498 ) / 6

LCM(859,780,498) = 333669960 / 6

LCM(859,780,498) = 55611660


Lets's calculate GCF of 15,34,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55611660/1

Therefore the LCM of Fractions 859/15,780/34,498/753 is 55611660

Greatest Common Factor of 15,34,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,34,753 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 15,34,753 . The biggest common factor number is the GCF number.
So the greatest common factor 15,34,753 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 859/15, 780/34, 498/753

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 859/15, 780/34, 498/753?

Answer: LCM of Numerators as per given numbers 859/15, 780/34, 498/753 is

LCM of Numerators i.e. for 859,780,498 is 55611660

GCF of denominators i.e. for 15,34,753 is 1.

Thus, LCM of Fractions is 55611660.Finally, LCM of Fractions for 859/15, 780/34, 498/753 is 55611660.