Least Common Multiple of 490/52, 814/20, 894/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/52, 814/20, 894/70 quickly i.e. 44572605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/52, 814/20, 894/70 is 44572605.

LCM(490/52, 814/20, 894/70) = 44572605

LCM of 490/52, 814/20, 894/70

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 490/52,814/20,894/70

Given numbers are 490/52,814/20,894/70

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 490,814,894

Least Common Multiple of Numerators i.e. LCM of 490,814,894 is 89145210.

GCF of Denominators means GCF of 52,20,70 as per the given fractions.

GCF of 52,20,70 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,814,894

LCM of Fractions 490/52,814/20,894/70 is 44572605

2 490, 814, 894
245, 407, 447

∴ So the LCM of the given numbers is 2 x 245 x 407 x 447 = 89145210

Least Common Multiple of 490,814,894 with GCF Formula

Least Common Multiple of 490,814,894 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 490,814,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,814,894) = 2

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

GCF(490,814,894) x common factors =2 x 2 = 4

LCM(490,814,894) = ( 490 × 814 × 894 ) / 4

LCM(490,814,894) = 356580840 / 4

LCM(490,814,894) = 89145210


Lets's calculate GCF of 52,20,70

2 52, 20, 70
26, 10, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89145210/2

Therefore the LCM of Fractions 490/52,814/20,894/70 is 44572605

Greatest Common Factor of 52,20,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,20,70 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 52,20,70 . The biggest common factor number is the GCF number.
So the greatest common factor 52,20,70 is 2.


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 490/52, 814/20, 894/70

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 490/52, 814/20, 894/70?

Answer: LCM of Numerators as per given numbers 490/52, 814/20, 894/70 is

LCM of Numerators i.e. for 490,814,894 is 89145210

GCF of denominators i.e. for 52,20,70 is 2.

Thus, LCM of Fractions is 44572605.Finally, LCM of Fractions for 490/52, 814/20, 894/70 is 44572605.