Least Common Multiple of 88/196, 69/560, 892/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/196, 69/560, 892/668 quickly i.e. 338514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/196, 69/560, 892/668 is 338514.

LCM(88/196, 69/560, 892/668) = 338514

LCM of 88/196, 69/560, 892/668

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 88/196,69/560,892/668

Given numbers are 88/196,69/560,892/668

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 88,69,892

Least Common Multiple of Numerators i.e. LCM of 88,69,892 is 1354056.

GCF of Denominators means GCF of 196,560,668 as per the given fractions.

GCF of 196,560,668 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,69,892

LCM of Fractions 88/196,69/560,892/668 is 338514

2 88, 69, 892
2 44, 69, 446
22, 69, 223

∴ So the LCM of the given numbers is 2 x 2 x 22 x 69 x 223 = 1354056

Least Common Multiple of 88,69,892 with GCF Formula

Least Common Multiple of 88,69,892 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 88,69,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,69,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,69,892) x common factors =1 x 4 = 4

LCM(88,69,892) = ( 88 × 69 × 892 ) / 4

LCM(88,69,892) = 5416224 / 4

LCM(88,69,892) = 1354056


Lets's calculate GCF of 196,560,668

2 196, 560, 668
2 98, 280, 334
49, 140, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354056/4

Therefore the LCM of Fractions 88/196,69/560,892/668 is 338514

Greatest Common Factor of 196,560,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,560,668 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

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 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 196,560,668 . The biggest common factor number is the GCF number.
So the greatest common factor 196,560,668 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 88/196, 69/560, 892/668

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 88/196, 69/560, 892/668?

Answer: LCM of Numerators as per given numbers 88/196, 69/560, 892/668 is

LCM of Numerators i.e. for 88,69,892 is 1354056

GCF of denominators i.e. for 196,560,668 is 4.

Thus, LCM of Fractions is 338514.Finally, LCM of Fractions for 88/196, 69/560, 892/668 is 338514.