Least Common Multiple of 67/869, 668/360, 780/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/869, 668/360, 780/964 quickly i.e. 8727420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/869, 668/360, 780/964 is 8727420.

LCM(67/869, 668/360, 780/964) = 8727420

LCM of 67/869, 668/360, 780/964

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 67/869,668/360,780/964

Given numbers are 67/869,668/360,780/964

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 67,668,780

Least Common Multiple of Numerators i.e. LCM of 67,668,780 is 8727420.

GCF of Denominators means GCF of 869,360,964 as per the given fractions.

GCF of 869,360,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,668,780

LCM of Fractions 67/869,668/360,780/964 is 8727420

2 67, 668, 780
2 67, 334, 390
67, 167, 195

∴ So the LCM of the given numbers is 2 x 2 x 67 x 167 x 195 = 8727420

Least Common Multiple of 67,668,780 with GCF Formula

Least Common Multiple of 67,668,780 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 67,668,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,668,780) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(67,668,780) x common factors =1 x 4 = 4

LCM(67,668,780) = ( 67 × 668 × 780 ) / 4

LCM(67,668,780) = 34909680 / 4

LCM(67,668,780) = 8727420


Lets's calculate GCF of 869,360,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8727420/1

Therefore the LCM of Fractions 67/869,668/360,780/964 is 8727420

Greatest Common Factor of 869,360,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,360,964 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 869,360,964 . The biggest common factor number is the GCF number.
So the greatest common factor 869,360,964 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 67/869, 668/360, 780/964

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 67/869, 668/360, 780/964?

Answer: LCM of Numerators as per given numbers 67/869, 668/360, 780/964 is

LCM of Numerators i.e. for 67,668,780 is 8727420

GCF of denominators i.e. for 869,360,964 is 1.

Thus, LCM of Fractions is 8727420.Finally, LCM of Fractions for 67/869, 668/360, 780/964 is 8727420.