Least Common Multiple of 986/64, 155/2870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 986/64, 155/2870 quickly i.e. 76415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/64, 155/2870 is 76415.

LCM(986/64, 155/2870) = 76415

LCM of 986/64, 155/2870

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 986/64,155/2870

Given numbers are 986/64,155/2870

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 986,155

Least Common Multiple of Numerators i.e. LCM of 986,155 is 152830.

GCF of Denominators means GCF of 64,2870 as per the given fractions.

GCF of 64,2870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,155

LCM of Fractions 986/64,155/2870 is 76415

Given numbers has no common factors except 1. So, there LCM is their product i.e 152830

Least Common Multiple of 986,155 with GCF Formula

Least Common Multiple of 986,155 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 986,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,155) = 1

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

GCF(986,155) x common factors =1 x 1 = 1

LCM(986,155) = ( 986 × 155 ) / 1

LCM(986,155) = 152830 / 1

LCM(986,155) = 152830


Lets's calculate GCF of 64,2870

2 64, 2870
32, 1435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152830/2

Therefore the LCM of Fractions 986/64,155/2870 is 76415

Greatest Common Factor of 64,2870 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2870 By Matching Biggest Common Factor Method

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 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870

Greatest Common Factor

We found the factors 64,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2870 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 986/64, 155/2870

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 986/64, 155/2870?

Answer: LCM of Numerators as per given numbers 986/64, 155/2870 is

LCM of Numerators i.e. for 986,155 is 152830

GCF of denominators i.e. for 64,2870 is 2.

Thus, LCM of Fractions is 76415.Finally, LCM of Fractions for 986/64, 155/2870 is 76415.