Least Common Multiple of 70/677, 88/183, 880/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/677, 88/183, 880/251 quickly i.e. 6160 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, 88/183, 880/251 is 6160.

LCM(70/677, 88/183, 880/251) = 6160

LCM of 70/677, 88/183, 880/251

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 70/677,88/183,880/251

Given numbers are 70/677,88/183,880/251

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 70,88,880

Least Common Multiple of Numerators i.e. LCM of 70,88,880 is 6160.

GCF of Denominators means GCF of 677,183,251 as per the given fractions.

GCF of 677,183,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,88,880

LCM of Fractions 70/677,88/183,880/251 is 6160

2 70, 88, 880
2 35, 44, 440
2 35, 22, 220
5 35, 11, 110
11 7, 11, 22
7, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 7 x 1 x 2 = 6160

Least Common Multiple of 70,88,880 with GCF Formula

Least Common Multiple of 70,88,880 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 70,88,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,88,880) = 2

common factors(in case of two or more numbers have common factors) = 440

GCF(70,88,880) x common factors =2 x 440 = 880

LCM(70,88,880) = ( 70 × 88 × 880 ) / 880

LCM(70,88,880) = 5420800 / 880

LCM(70,88,880) = 6160


Lets's calculate GCF of 677,183,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6160/1

Therefore the LCM of Fractions 70/677,88/183,880/251 is 6160

Greatest Common Factor of 677,183,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,183,251 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 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 677,183,251 . The biggest common factor number is the GCF number.
So the greatest common factor 677,183,251 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, 88/183, 880/251

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, 88/183, 880/251?

Answer: LCM of Numerators as per given numbers 70/677, 88/183, 880/251 is

LCM of Numerators i.e. for 70,88,880 is 6160

GCF of denominators i.e. for 677,183,251 is 1.

Thus, LCM of Fractions is 6160.Finally, LCM of Fractions for 70/677, 88/183, 880/251 is 6160.