Least Common Multiple of 526/820, 940/980, 368/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/820, 940/980, 368/560 quickly i.e. 1137212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/820, 940/980, 368/560 is 1137212.

LCM(526/820, 940/980, 368/560) = 1137212

LCM of 526/820, 940/980, 368/560

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 526/820,940/980,368/560

Given numbers are 526/820,940/980,368/560

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 526,940,368

Least Common Multiple of Numerators i.e. LCM of 526,940,368 is 22744240.

GCF of Denominators means GCF of 820,980,560 as per the given fractions.

GCF of 820,980,560 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,940,368

LCM of Fractions 526/820,940/980,368/560 is 1137212

2 526, 940, 368
2 263, 470, 184
263, 235, 92

∴ So the LCM of the given numbers is 2 x 2 x 263 x 235 x 92 = 22744240

Least Common Multiple of 526,940,368 with GCF Formula

Least Common Multiple of 526,940,368 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 526,940,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,940,368) = 2

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

GCF(526,940,368) x common factors =2 x 4 = 8

LCM(526,940,368) = ( 526 × 940 × 368 ) / 8

LCM(526,940,368) = 181953920 / 8

LCM(526,940,368) = 22744240


Lets's calculate GCF of 820,980,560

2 820, 980, 560
2 410, 490, 280
5 205, 245, 140
41, 49, 28

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22744240/20

Therefore the LCM of Fractions 526/820,940/980,368/560 is 1137212

Greatest Common Factor of 820,980,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,980,560 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

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

Greatest Common Factor

We found the factors 820,980,560 . The biggest common factor number is the GCF number.
So the greatest common factor 820,980,560 is 20.


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 526/820, 940/980, 368/560

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 526/820, 940/980, 368/560?

Answer: LCM of Numerators as per given numbers 526/820, 940/980, 368/560 is

LCM of Numerators i.e. for 526,940,368 is 22744240

GCF of denominators i.e. for 820,980,560 is 20.

Thus, LCM of Fractions is 1137212.Finally, LCM of Fractions for 526/820, 940/980, 368/560 is 1137212.