Least Common Multiple of 858/33, 705/76, 312/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/33, 705/76, 312/970 quickly i.e. 806520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/33, 705/76, 312/970 is 806520.

LCM(858/33, 705/76, 312/970) = 806520

LCM of 858/33, 705/76, 312/970

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 858/33,705/76,312/970

Given numbers are 858/33,705/76,312/970

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 858,705,312

Least Common Multiple of Numerators i.e. LCM of 858,705,312 is 806520.

GCF of Denominators means GCF of 33,76,970 as per the given fractions.

GCF of 33,76,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,705,312

LCM of Fractions 858/33,705/76,312/970 is 806520

2 858, 705, 312
3 429, 705, 156
13 143, 235, 52
11, 235, 4

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 235 x 4 = 806520

Least Common Multiple of 858,705,312 with GCF Formula

Least Common Multiple of 858,705,312 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 858,705,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,705,312) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(858,705,312) x common factors =3 x 78 = 234

LCM(858,705,312) = ( 858 × 705 × 312 ) / 234

LCM(858,705,312) = 188725680 / 234

LCM(858,705,312) = 806520


Lets's calculate GCF of 33,76,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 806520/1

Therefore the LCM of Fractions 858/33,705/76,312/970 is 806520

Greatest Common Factor of 33,76,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,76,970 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 33,76,970 . The biggest common factor number is the GCF number.
So the greatest common factor 33,76,970 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 858/33, 705/76, 312/970

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 858/33, 705/76, 312/970?

Answer: LCM of Numerators as per given numbers 858/33, 705/76, 312/970 is

LCM of Numerators i.e. for 858,705,312 is 806520

GCF of denominators i.e. for 33,76,970 is 1.

Thus, LCM of Fractions is 806520.Finally, LCM of Fractions for 858/33, 705/76, 312/970 is 806520.