Least Common Multiple of 69/562, 74/946, 998/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/562, 74/946, 998/146 quickly i.e. 1273947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/562, 74/946, 998/146 is 1273947.

LCM(69/562, 74/946, 998/146) = 1273947

LCM of 69/562, 74/946, 998/146

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 69/562,74/946,998/146

Given numbers are 69/562,74/946,998/146

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 69,74,998

Least Common Multiple of Numerators i.e. LCM of 69,74,998 is 2547894.

GCF of Denominators means GCF of 562,946,146 as per the given fractions.

GCF of 562,946,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,74,998

LCM of Fractions 69/562,74/946,998/146 is 1273947

2 69, 74, 998
69, 37, 499

∴ So the LCM of the given numbers is 2 x 69 x 37 x 499 = 2547894

Least Common Multiple of 69,74,998 with GCF Formula

Least Common Multiple of 69,74,998 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 69,74,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,74,998) = 1

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

GCF(69,74,998) x common factors =1 x 2 = 2

LCM(69,74,998) = ( 69 × 74 × 998 ) / 2

LCM(69,74,998) = 5095788 / 2

LCM(69,74,998) = 2547894


Lets's calculate GCF of 562,946,146

2 562, 946, 146
281, 473, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2547894/2

Therefore the LCM of Fractions 69/562,74/946,998/146 is 1273947

Greatest Common Factor of 562,946,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,946,146 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 562,946,146 . The biggest common factor number is the GCF number.
So the greatest common factor 562,946,146 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 69/562, 74/946, 998/146

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 69/562, 74/946, 998/146?

Answer: LCM of Numerators as per given numbers 69/562, 74/946, 998/146 is

LCM of Numerators i.e. for 69,74,998 is 2547894

GCF of denominators i.e. for 562,946,146 is 2.

Thus, LCM of Fractions is 1273947.Finally, LCM of Fractions for 69/562, 74/946, 998/146 is 1273947.