Least Common Multiple of 49/563, 17/232, 870/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/563, 17/232, 870/932 quickly i.e. 724710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/563, 17/232, 870/932 is 724710.

LCM(49/563, 17/232, 870/932) = 724710

LCM of 49/563, 17/232, 870/932

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 49/563,17/232,870/932

Given numbers are 49/563,17/232,870/932

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 49,17,870

Least Common Multiple of Numerators i.e. LCM of 49,17,870 is 724710.

GCF of Denominators means GCF of 563,232,932 as per the given fractions.

GCF of 563,232,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,17,870

LCM of Fractions 49/563,17/232,870/932 is 724710

Given numbers has no common factors except 1. So, there LCM is their product i.e 724710

Least Common Multiple of 49,17,870 with GCF Formula

Least Common Multiple of 49,17,870 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 49,17,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,17,870) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,17,870) x common factors =1 x 1 = 1

LCM(49,17,870) = ( 49 × 17 × 870 ) / 1

LCM(49,17,870) = 724710 / 1

LCM(49,17,870) = 724710


Lets's calculate GCF of 563,232,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724710/1

Therefore the LCM of Fractions 49/563,17/232,870/932 is 724710

Greatest Common Factor of 563,232,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,232,932 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 563,232,932 . The biggest common factor number is the GCF number.
So the greatest common factor 563,232,932 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 49/563, 17/232, 870/932

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 49/563, 17/232, 870/932?

Answer: LCM of Numerators as per given numbers 49/563, 17/232, 870/932 is

LCM of Numerators i.e. for 49,17,870 is 724710

GCF of denominators i.e. for 563,232,932 is 1.

Thus, LCM of Fractions is 724710.Finally, LCM of Fractions for 49/563, 17/232, 870/932 is 724710.