Least Common Multiple of 560/860, 875/476, 130/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/860, 875/476, 130/680 quickly i.e. 45500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/860, 875/476, 130/680 is 45500.

LCM(560/860, 875/476, 130/680) = 45500

LCM of 560/860, 875/476, 130/680

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 560/860,875/476,130/680

Given numbers are 560/860,875/476,130/680

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 560,875,130

Least Common Multiple of Numerators i.e. LCM of 560,875,130 is 182000.

GCF of Denominators means GCF of 860,476,680 as per the given fractions.

GCF of 860,476,680 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,875,130

LCM of Fractions 560/860,875/476,130/680 is 45500

2 560, 875, 130
5 280, 875, 65
7 56, 175, 13
8, 25, 13

∴ So the LCM of the given numbers is 2 x 5 x 7 x 8 x 25 x 13 = 182000

Least Common Multiple of 560,875,130 with GCF Formula

Least Common Multiple of 560,875,130 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 560,875,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,875,130) = 5

common factors(in case of two or more numbers have common factors) = 70

GCF(560,875,130) x common factors =5 x 70 = 350

LCM(560,875,130) = ( 560 × 875 × 130 ) / 350

LCM(560,875,130) = 63700000 / 350

LCM(560,875,130) = 182000


Lets's calculate GCF of 860,476,680

2 860, 476, 680
2 430, 238, 340
215, 119, 170

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182000/4

Therefore the LCM of Fractions 560/860,875/476,130/680 is 45500

Greatest Common Factor of 860,476,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,476,680 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 860,476,680 . The biggest common factor number is the GCF number.
So the greatest common factor 860,476,680 is 4.


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 560/860, 875/476, 130/680

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 560/860, 875/476, 130/680?

Answer: LCM of Numerators as per given numbers 560/860, 875/476, 130/680 is

LCM of Numerators i.e. for 560,875,130 is 182000

GCF of denominators i.e. for 860,476,680 is 4.

Thus, LCM of Fractions is 45500.Finally, LCM of Fractions for 560/860, 875/476, 130/680 is 45500.