Least Common Multiple of 70/677, 20/140, 740/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/677, 20/140, 740/567 quickly i.e. 5180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/677, 20/140, 740/567 is 5180.

LCM(70/677, 20/140, 740/567) = 5180

LCM of 70/677, 20/140, 740/567

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 70/677,20/140,740/567

Given numbers are 70/677,20/140,740/567

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 70,20,740

Least Common Multiple of Numerators i.e. LCM of 70,20,740 is 5180.

GCF of Denominators means GCF of 677,140,567 as per the given fractions.

GCF of 677,140,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,20,740

LCM of Fractions 70/677,20/140,740/567 is 5180

2 70, 20, 740
2 35, 10, 370
5 35, 5, 185
7, 1, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 37 = 5180

Least Common Multiple of 70,20,740 with GCF Formula

Least Common Multiple of 70,20,740 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 70,20,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,20,740) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(70,20,740) x common factors =10 x 20 = 200

LCM(70,20,740) = ( 70 × 20 × 740 ) / 200

LCM(70,20,740) = 1036000 / 200

LCM(70,20,740) = 5180


Lets's calculate GCF of 677,140,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5180/1

Therefore the LCM of Fractions 70/677,20/140,740/567 is 5180

Greatest Common Factor of 677,140,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,140,567 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 677,140,567 . The biggest common factor number is the GCF number.
So the greatest common factor 677,140,567 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 70/677, 20/140, 740/567

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 70/677, 20/140, 740/567?

Answer: LCM of Numerators as per given numbers 70/677, 20/140, 740/567 is

LCM of Numerators i.e. for 70,20,740 is 5180

GCF of denominators i.e. for 677,140,567 is 1.

Thus, LCM of Fractions is 5180.Finally, LCM of Fractions for 70/677, 20/140, 740/567 is 5180.