Least Common Multiple of 49/748, 50/254, 842/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/748, 50/254, 842/966 quickly i.e. 515725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/748, 50/254, 842/966 is 515725.

LCM(49/748, 50/254, 842/966) = 515725

LCM of 49/748, 50/254, 842/966

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 49/748,50/254,842/966

Given numbers are 49/748,50/254,842/966

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 49,50,842

Least Common Multiple of Numerators i.e. LCM of 49,50,842 is 1031450.

GCF of Denominators means GCF of 748,254,966 as per the given fractions.

GCF of 748,254,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,50,842

LCM of Fractions 49/748,50/254,842/966 is 515725

2 49, 50, 842
49, 25, 421

∴ So the LCM of the given numbers is 2 x 49 x 25 x 421 = 1031450

Least Common Multiple of 49,50,842 with GCF Formula

Least Common Multiple of 49,50,842 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 49,50,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,50,842) = 1

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

GCF(49,50,842) x common factors =1 x 2 = 2

LCM(49,50,842) = ( 49 × 50 × 842 ) / 2

LCM(49,50,842) = 2062900 / 2

LCM(49,50,842) = 1031450


Lets's calculate GCF of 748,254,966

2 748, 254, 966
374, 127, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1031450/2

Therefore the LCM of Fractions 49/748,50/254,842/966 is 515725

Greatest Common Factor of 748,254,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,254,966 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 748,254,966 . The biggest common factor number is the GCF number.
So the greatest common factor 748,254,966 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 49/748, 50/254, 842/966

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 49/748, 50/254, 842/966?

Answer: LCM of Numerators as per given numbers 49/748, 50/254, 842/966 is

LCM of Numerators i.e. for 49,50,842 is 1031450

GCF of denominators i.e. for 748,254,966 is 2.

Thus, LCM of Fractions is 515725.Finally, LCM of Fractions for 49/748, 50/254, 842/966 is 515725.