Least Common Multiple of 87/464, 672/759, 608/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/464, 672/759, 608/670 quickly i.e. 370272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/464, 672/759, 608/670 is 370272.

LCM(87/464, 672/759, 608/670) = 370272

LCM of 87/464, 672/759, 608/670

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 87/464,672/759,608/670

Given numbers are 87/464,672/759,608/670

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 87,672,608

Least Common Multiple of Numerators i.e. LCM of 87,672,608 is 370272.

GCF of Denominators means GCF of 464,759,670 as per the given fractions.

GCF of 464,759,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,672,608

LCM of Fractions 87/464,672/759,608/670 is 370272

2 87, 672, 608
2 87, 336, 304
2 87, 168, 152
2 87, 84, 76
2 87, 42, 38
3 87, 21, 19
29, 7, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 29 x 7 x 19 = 370272

Least Common Multiple of 87,672,608 with GCF Formula

Least Common Multiple of 87,672,608 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 87,672,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,672,608) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(87,672,608) x common factors =1 x 96 = 96

LCM(87,672,608) = ( 87 × 672 × 608 ) / 96

LCM(87,672,608) = 35546112 / 96

LCM(87,672,608) = 370272


Lets's calculate GCF of 464,759,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370272/1

Therefore the LCM of Fractions 87/464,672/759,608/670 is 370272

Greatest Common Factor of 464,759,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,759,670 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 464,759,670 . The biggest common factor number is the GCF number.
So the greatest common factor 464,759,670 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 87/464, 672/759, 608/670

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 87/464, 672/759, 608/670?

Answer: LCM of Numerators as per given numbers 87/464, 672/759, 608/670 is

LCM of Numerators i.e. for 87,672,608 is 370272

GCF of denominators i.e. for 464,759,670 is 1.

Thus, LCM of Fractions is 370272.Finally, LCM of Fractions for 87/464, 672/759, 608/670 is 370272.