Least Common Multiple of 94/206, 701/64, 870/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/206, 701/64, 870/860 quickly i.e. 14331945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/206, 701/64, 870/860 is 14331945.

LCM(94/206, 701/64, 870/860) = 14331945

LCM of 94/206, 701/64, 870/860

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 94/206,701/64,870/860

Given numbers are 94/206,701/64,870/860

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 94,701,870

Least Common Multiple of Numerators i.e. LCM of 94,701,870 is 28663890.

GCF of Denominators means GCF of 206,64,860 as per the given fractions.

GCF of 206,64,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,701,870

LCM of Fractions 94/206,701/64,870/860 is 14331945

2 94, 701, 870
47, 701, 435

∴ So the LCM of the given numbers is 2 x 47 x 701 x 435 = 28663890

Least Common Multiple of 94,701,870 with GCF Formula

Least Common Multiple of 94,701,870 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 94,701,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,701,870) = 1

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

GCF(94,701,870) x common factors =1 x 2 = 2

LCM(94,701,870) = ( 94 × 701 × 870 ) / 2

LCM(94,701,870) = 57327780 / 2

LCM(94,701,870) = 28663890


Lets's calculate GCF of 206,64,860

2 206, 64, 860
103, 32, 430

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28663890/2

Therefore the LCM of Fractions 94/206,701/64,870/860 is 14331945

Greatest Common Factor of 206,64,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,64,860 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 206,64,860 . The biggest common factor number is the GCF number.
So the greatest common factor 206,64,860 is 2.


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 94/206, 701/64, 870/860

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 94/206, 701/64, 870/860?

Answer: LCM of Numerators as per given numbers 94/206, 701/64, 870/860 is

LCM of Numerators i.e. for 94,701,870 is 28663890

GCF of denominators i.e. for 206,64,860 is 2.

Thus, LCM of Fractions is 14331945.Finally, LCM of Fractions for 94/206, 701/64, 870/860 is 14331945.