Least Common Multiple of 156/70, 870/3435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/70, 870/3435 quickly i.e. 4524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/70, 870/3435 is 4524.

LCM(156/70, 870/3435) = 4524

LCM of 156/70, 870/3435

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 156/70,870/3435

Given numbers are 156/70,870/3435

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 156,870

Least Common Multiple of Numerators i.e. LCM of 156,870 is 22620.

GCF of Denominators means GCF of 70,3435 as per the given fractions.

GCF of 70,3435 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,870

LCM of Fractions 156/70,870/3435 is 4524

2 156, 870
3 78, 435
26, 145

∴ So the LCM of the given numbers is 2 x 3 x 26 x 145 = 22620

Least Common Multiple of 156,870 with GCF Formula

Least Common Multiple of 156,870 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 156,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,870) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(156,870) x common factors =6 x 1 = 6

LCM(156,870) = ( 156 × 870 ) / 6

LCM(156,870) = 135720 / 6

LCM(156,870) = 22620


Lets's calculate GCF of 70,3435

5 70, 3435
14, 687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22620/5

Therefore the LCM of Fractions 156/70,870/3435 is 4524

Greatest Common Factor of 70,3435 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,3435 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1,3,5,15,229,687,1145,3435

Greatest Common Factor

We found the factors 70,3435 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3435 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 156/70, 870/3435

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 156/70, 870/3435?

Answer: LCM of Numerators as per given numbers 156/70, 870/3435 is

LCM of Numerators i.e. for 156,870 is 22620

GCF of denominators i.e. for 70,3435 is 5.

Thus, LCM of Fractions is 4524.Finally, LCM of Fractions for 156/70, 870/3435 is 4524.