Least Common Multiple of 34/62, 974/22, 220/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/62, 974/22, 220/900 quickly i.e. 910690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/62, 974/22, 220/900 is 910690.

LCM(34/62, 974/22, 220/900) = 910690

LCM of 34/62, 974/22, 220/900

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 34/62,974/22,220/900

Given numbers are 34/62,974/22,220/900

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 34,974,220

Least Common Multiple of Numerators i.e. LCM of 34,974,220 is 1821380.

GCF of Denominators means GCF of 62,22,900 as per the given fractions.

GCF of 62,22,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,974,220

LCM of Fractions 34/62,974/22,220/900 is 910690

2 34, 974, 220
17, 487, 110

∴ So the LCM of the given numbers is 2 x 17 x 487 x 110 = 1821380

Least Common Multiple of 34,974,220 with GCF Formula

Least Common Multiple of 34,974,220 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 34,974,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,974,220) = 2

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

GCF(34,974,220) x common factors =2 x 2 = 4

LCM(34,974,220) = ( 34 × 974 × 220 ) / 4

LCM(34,974,220) = 7285520 / 4

LCM(34,974,220) = 1821380


Lets's calculate GCF of 62,22,900

2 62, 22, 900
31, 11, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1821380/2

Therefore the LCM of Fractions 34/62,974/22,220/900 is 910690

Greatest Common Factor of 62,22,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,22,900 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 62,22,900 . The biggest common factor number is the GCF number.
So the greatest common factor 62,22,900 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 34/62, 974/22, 220/900

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 34/62, 974/22, 220/900?

Answer: LCM of Numerators as per given numbers 34/62, 974/22, 220/900 is

LCM of Numerators i.e. for 34,974,220 is 1821380

GCF of denominators i.e. for 62,22,900 is 2.

Thus, LCM of Fractions is 910690.Finally, LCM of Fractions for 34/62, 974/22, 220/900 is 910690.