Least Common Multiple of 50/993, 146/406, 426/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/993, 146/406, 426/708 quickly i.e. 777450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/993, 146/406, 426/708 is 777450.

LCM(50/993, 146/406, 426/708) = 777450

LCM of 50/993, 146/406, 426/708

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 50/993,146/406,426/708

Given numbers are 50/993,146/406,426/708

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 50,146,426

Least Common Multiple of Numerators i.e. LCM of 50,146,426 is 777450.

GCF of Denominators means GCF of 993,406,708 as per the given fractions.

GCF of 993,406,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,146,426

LCM of Fractions 50/993,146/406,426/708 is 777450

2 50, 146, 426
25, 73, 213

∴ So the LCM of the given numbers is 2 x 25 x 73 x 213 = 777450

Least Common Multiple of 50,146,426 with GCF Formula

Least Common Multiple of 50,146,426 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 50,146,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,146,426) = 2

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

GCF(50,146,426) x common factors =2 x 2 = 4

LCM(50,146,426) = ( 50 × 146 × 426 ) / 4

LCM(50,146,426) = 3109800 / 4

LCM(50,146,426) = 777450


Lets's calculate GCF of 993,406,708

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777450/1

Therefore the LCM of Fractions 50/993,146/406,426/708 is 777450

Greatest Common Factor of 993,406,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,406,708 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 993,406,708 . The biggest common factor number is the GCF number.
So the greatest common factor 993,406,708 is 1.


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 50/993, 146/406, 426/708

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 50/993, 146/406, 426/708?

Answer: LCM of Numerators as per given numbers 50/993, 146/406, 426/708 is

LCM of Numerators i.e. for 50,146,426 is 777450

GCF of denominators i.e. for 993,406,708 is 1.

Thus, LCM of Fractions is 777450.Finally, LCM of Fractions for 50/993, 146/406, 426/708 is 777450.