Least Common Multiple of 88/560, 49/140, 899/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/560, 49/140, 899/348 quickly i.e. 969122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/560, 49/140, 899/348 is 969122.

LCM(88/560, 49/140, 899/348) = 969122

LCM of 88/560, 49/140, 899/348

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 88/560,49/140,899/348

Given numbers are 88/560,49/140,899/348

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 88,49,899

Least Common Multiple of Numerators i.e. LCM of 88,49,899 is 3876488.

GCF of Denominators means GCF of 560,140,348 as per the given fractions.

GCF of 560,140,348 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,49,899

LCM of Fractions 88/560,49/140,899/348 is 969122

Given numbers has no common factors except 1. So, there LCM is their product i.e 3876488

Least Common Multiple of 88,49,899 with GCF Formula

Least Common Multiple of 88,49,899 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 88,49,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,49,899) = 1

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

GCF(88,49,899) x common factors =1 x 1 = 1

LCM(88,49,899) = ( 88 × 49 × 899 ) / 1

LCM(88,49,899) = 3876488 / 1

LCM(88,49,899) = 3876488


Lets's calculate GCF of 560,140,348

2 560, 140, 348
2 280, 70, 174
140, 35, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3876488/4

Therefore the LCM of Fractions 88/560,49/140,899/348 is 969122

Greatest Common Factor of 560,140,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,140,348 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 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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 560,140,348 . The biggest common factor number is the GCF number.
So the greatest common factor 560,140,348 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 88/560, 49/140, 899/348

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 88/560, 49/140, 899/348?

Answer: LCM of Numerators as per given numbers 88/560, 49/140, 899/348 is

LCM of Numerators i.e. for 88,49,899 is 3876488

GCF of denominators i.e. for 560,140,348 is 4.

Thus, LCM of Fractions is 969122.Finally, LCM of Fractions for 88/560, 49/140, 899/348 is 969122.