Least Common Multiple of 704/77, 355/91, 670/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/77, 355/91, 670/554 quickly i.e. 16744640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/77, 355/91, 670/554 is 16744640.

LCM(704/77, 355/91, 670/554) = 16744640

LCM of 704/77, 355/91, 670/554

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 704/77,355/91,670/554

Given numbers are 704/77,355/91,670/554

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 704,355,670

Least Common Multiple of Numerators i.e. LCM of 704,355,670 is 16744640.

GCF of Denominators means GCF of 77,91,554 as per the given fractions.

GCF of 77,91,554 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,355,670

LCM of Fractions 704/77,355/91,670/554 is 16744640

2 704, 355, 670
5 352, 355, 335
352, 71, 67

∴ So the LCM of the given numbers is 2 x 5 x 352 x 71 x 67 = 16744640

Least Common Multiple of 704,355,670 with GCF Formula

Least Common Multiple of 704,355,670 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 704,355,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,355,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(704,355,670) x common factors =1 x 10 = 10

LCM(704,355,670) = ( 704 × 355 × 670 ) / 10

LCM(704,355,670) = 167446400 / 10

LCM(704,355,670) = 16744640


Lets's calculate GCF of 77,91,554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16744640/1

Therefore the LCM of Fractions 704/77,355/91,670/554 is 16744640

Greatest Common Factor of 77,91,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,91,554 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 77,91,554 . The biggest common factor number is the GCF number.
So the greatest common factor 77,91,554 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 704/77, 355/91, 670/554

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 704/77, 355/91, 670/554?

Answer: LCM of Numerators as per given numbers 704/77, 355/91, 670/554 is

LCM of Numerators i.e. for 704,355,670 is 16744640

GCF of denominators i.e. for 77,91,554 is 1.

Thus, LCM of Fractions is 16744640.Finally, LCM of Fractions for 704/77, 355/91, 670/554 is 16744640.