Least Common Multiple of 985/560, 642/391, 848/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/560, 642/391, 848/158 quickly i.e. 268124880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/560, 642/391, 848/158 is 268124880.

LCM(985/560, 642/391, 848/158) = 268124880

LCM of 985/560, 642/391, 848/158

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 985/560,642/391,848/158

Given numbers are 985/560,642/391,848/158

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 985,642,848

Least Common Multiple of Numerators i.e. LCM of 985,642,848 is 268124880.

GCF of Denominators means GCF of 560,391,158 as per the given fractions.

GCF of 560,391,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,642,848

LCM of Fractions 985/560,642/391,848/158 is 268124880

2 985, 642, 848
985, 321, 424

∴ So the LCM of the given numbers is 2 x 985 x 321 x 424 = 268124880

Least Common Multiple of 985,642,848 with GCF Formula

Least Common Multiple of 985,642,848 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 985,642,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,642,848) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(985,642,848) x common factors =1 x 2 = 2

LCM(985,642,848) = ( 985 × 642 × 848 ) / 2

LCM(985,642,848) = 536249760 / 2

LCM(985,642,848) = 268124880


Lets's calculate GCF of 560,391,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268124880/1

Therefore the LCM of Fractions 985/560,642/391,848/158 is 268124880

Greatest Common Factor of 560,391,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,391,158 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 560,391,158 . The biggest common factor number is the GCF number.
So the greatest common factor 560,391,158 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 985/560, 642/391, 848/158

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 985/560, 642/391, 848/158?

Answer: LCM of Numerators as per given numbers 985/560, 642/391, 848/158 is

LCM of Numerators i.e. for 985,642,848 is 268124880

GCF of denominators i.e. for 560,391,158 is 1.

Thus, LCM of Fractions is 268124880.Finally, LCM of Fractions for 985/560, 642/391, 848/158 is 268124880.