Least Common Multiple of 262/49, 462/54, 780/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 262/49, 462/54, 780/998 quickly i.e. 7867860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 262/49, 462/54, 780/998 is 7867860.

LCM(262/49, 462/54, 780/998) = 7867860

LCM of 262/49, 462/54, 780/998

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 262/49,462/54,780/998

Given numbers are 262/49,462/54,780/998

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 262,462,780

Least Common Multiple of Numerators i.e. LCM of 262,462,780 is 7867860.

GCF of Denominators means GCF of 49,54,998 as per the given fractions.

GCF of 49,54,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 262,462,780

LCM of Fractions 262/49,462/54,780/998 is 7867860

2 262, 462, 780
3 131, 231, 390
131, 77, 130

∴ So the LCM of the given numbers is 2 x 3 x 131 x 77 x 130 = 7867860

Least Common Multiple of 262,462,780 with GCF Formula

Least Common Multiple of 262,462,780 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 262,462,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,462,780) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(262,462,780) x common factors =2 x 6 = 12

LCM(262,462,780) = ( 262 × 462 × 780 ) / 12

LCM(262,462,780) = 94414320 / 12

LCM(262,462,780) = 7867860


Lets's calculate GCF of 49,54,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7867860/1

Therefore the LCM of Fractions 262/49,462/54,780/998 is 7867860

Greatest Common Factor of 49,54,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,54,998 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 49,54,998 . The biggest common factor number is the GCF number.
So the greatest common factor 49,54,998 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 262/49, 462/54, 780/998

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 262/49, 462/54, 780/998?

Answer: LCM of Numerators as per given numbers 262/49, 462/54, 780/998 is

LCM of Numerators i.e. for 262,462,780 is 7867860

GCF of denominators i.e. for 49,54,998 is 1.

Thus, LCM of Fractions is 7867860.Finally, LCM of Fractions for 262/49, 462/54, 780/998 is 7867860.