Least Common Multiple of 151/968, 992/641, 868/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/968, 992/641, 868/989 quickly i.e. 1048544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/968, 992/641, 868/989 is 1048544.

LCM(151/968, 992/641, 868/989) = 1048544

LCM of 151/968, 992/641, 868/989

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 151/968,992/641,868/989

Given numbers are 151/968,992/641,868/989

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 151,992,868

Least Common Multiple of Numerators i.e. LCM of 151,992,868 is 1048544.

GCF of Denominators means GCF of 968,641,989 as per the given fractions.

GCF of 968,641,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,992,868

LCM of Fractions 151/968,992/641,868/989 is 1048544

2 151, 992, 868
2 151, 496, 434
31 151, 248, 217
151, 8, 7

∴ So the LCM of the given numbers is 2 x 2 x 31 x 151 x 8 x 7 = 1048544

Least Common Multiple of 151,992,868 with GCF Formula

Least Common Multiple of 151,992,868 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 151,992,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,992,868) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(151,992,868) x common factors =1 x 124 = 124

LCM(151,992,868) = ( 151 × 992 × 868 ) / 124

LCM(151,992,868) = 130019456 / 124

LCM(151,992,868) = 1048544


Lets's calculate GCF of 968,641,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1048544/1

Therefore the LCM of Fractions 151/968,992/641,868/989 is 1048544

Greatest Common Factor of 968,641,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,641,989 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 968,641,989 . The biggest common factor number is the GCF number.
So the greatest common factor 968,641,989 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 151/968, 992/641, 868/989

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 151/968, 992/641, 868/989?

Answer: LCM of Numerators as per given numbers 151/968, 992/641, 868/989 is

LCM of Numerators i.e. for 151,992,868 is 1048544

GCF of denominators i.e. for 968,641,989 is 1.

Thus, LCM of Fractions is 1048544.Finally, LCM of Fractions for 151/968, 992/641, 868/989 is 1048544.