Least Common Multiple of 1976/77, 5426/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1976/77, 5426/338 quickly i.e. 5360888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1976/77, 5426/338 is 5360888.

LCM(1976/77, 5426/338) = 5360888

LCM of 1976/77, 5426/338

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 1976/77,5426/338

Given numbers are 1976/77,5426/338

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 1976,5426

Least Common Multiple of Numerators i.e. LCM of 1976,5426 is 5360888.

GCF of Denominators means GCF of 77,338 as per the given fractions.

GCF of 77,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1976,5426

LCM of Fractions 1976/77,5426/338 is 5360888

2 1976, 5426
988, 2713

∴ So the LCM of the given numbers is 2 x 988 x 2713 = 5360888

Least Common Multiple of 1976,5426 with GCF Formula

Least Common Multiple of 1976,5426 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 1976,5426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1976,5426) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1976,5426) x common factors =2 x 1 = 2

LCM(1976,5426) = ( 1976 × 5426 ) / 2

LCM(1976,5426) = 10721776 / 2

LCM(1976,5426) = 5360888


Lets's calculate GCF of 77,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5360888/1

Therefore the LCM of Fractions 1976/77,5426/338 is 5360888

Greatest Common Factor of 77,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,338 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 77,338 . The biggest common factor number is the GCF number.
So the greatest common factor 77,338 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1976/77, 5426/338

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 1976/77, 5426/338?

Answer: LCM of Numerators as per given numbers 1976/77, 5426/338 is

LCM of Numerators i.e. for 1976,5426 is 5360888

GCF of denominators i.e. for 77,338 is 1.

Thus, LCM of Fractions is 5360888.Finally, LCM of Fractions for 1976/77, 5426/338 is 5360888.