Least Common Multiple of 47/872, 70/682, 156/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/872, 70/682, 156/946 quickly i.e. 128310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/872, 70/682, 156/946 is 128310.

LCM(47/872, 70/682, 156/946) = 128310

LCM of 47/872, 70/682, 156/946

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 47/872,70/682,156/946

Given numbers are 47/872,70/682,156/946

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 47,70,156

Least Common Multiple of Numerators i.e. LCM of 47,70,156 is 256620.

GCF of Denominators means GCF of 872,682,946 as per the given fractions.

GCF of 872,682,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,70,156

LCM of Fractions 47/872,70/682,156/946 is 128310

2 47, 70, 156
47, 35, 78

∴ So the LCM of the given numbers is 2 x 47 x 35 x 78 = 256620

Least Common Multiple of 47,70,156 with GCF Formula

Least Common Multiple of 47,70,156 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 47,70,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,70,156) = 1

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

GCF(47,70,156) x common factors =1 x 2 = 2

LCM(47,70,156) = ( 47 × 70 × 156 ) / 2

LCM(47,70,156) = 513240 / 2

LCM(47,70,156) = 256620


Lets's calculate GCF of 872,682,946

2 872, 682, 946
436, 341, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256620/2

Therefore the LCM of Fractions 47/872,70/682,156/946 is 128310

Greatest Common Factor of 872,682,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,682,946 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 872,682,946 . The biggest common factor number is the GCF number.
So the greatest common factor 872,682,946 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 47/872, 70/682, 156/946

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 47/872, 70/682, 156/946?

Answer: LCM of Numerators as per given numbers 47/872, 70/682, 156/946 is

LCM of Numerators i.e. for 47,70,156 is 256620

GCF of denominators i.e. for 872,682,946 is 2.

Thus, LCM of Fractions is 128310.Finally, LCM of Fractions for 47/872, 70/682, 156/946 is 128310.