Least Common Multiple of 967/894, 971/149, 510/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/894, 971/149, 510/128 quickly i.e. 478868070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/894, 971/149, 510/128 is 478868070.

LCM(967/894, 971/149, 510/128) = 478868070

LCM of 967/894, 971/149, 510/128

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 967/894,971/149,510/128

Given numbers are 967/894,971/149,510/128

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 967,971,510

Least Common Multiple of Numerators i.e. LCM of 967,971,510 is 478868070.

GCF of Denominators means GCF of 894,149,128 as per the given fractions.

GCF of 894,149,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,971,510

LCM of Fractions 967/894,971/149,510/128 is 478868070

Given numbers has no common factors except 1. So, there LCM is their product i.e 478868070

Least Common Multiple of 967,971,510 with GCF Formula

Least Common Multiple of 967,971,510 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 967,971,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,971,510) = 1

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

GCF(967,971,510) x common factors =1 x 1 = 1

LCM(967,971,510) = ( 967 × 971 × 510 ) / 1

LCM(967,971,510) = 478868070 / 1

LCM(967,971,510) = 478868070


Lets's calculate GCF of 894,149,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478868070/1

Therefore the LCM of Fractions 967/894,971/149,510/128 is 478868070

Greatest Common Factor of 894,149,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,149,128 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 894,149,128 . The biggest common factor number is the GCF number.
So the greatest common factor 894,149,128 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 967/894, 971/149, 510/128

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 967/894, 971/149, 510/128?

Answer: LCM of Numerators as per given numbers 967/894, 971/149, 510/128 is

LCM of Numerators i.e. for 967,971,510 is 478868070

GCF of denominators i.e. for 894,149,128 is 1.

Thus, LCM of Fractions is 478868070.Finally, LCM of Fractions for 967/894, 971/149, 510/128 is 478868070.