Least Common Multiple of 919/55, 745/5020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/55, 745/5020 quickly i.e. 136931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/55, 745/5020 is 136931.

LCM(919/55, 745/5020) = 136931

LCM of 919/55, 745/5020

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 919/55,745/5020

Given numbers are 919/55,745/5020

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 919,745

Least Common Multiple of Numerators i.e. LCM of 919,745 is 684655.

GCF of Denominators means GCF of 55,5020 as per the given fractions.

GCF of 55,5020 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,745

LCM of Fractions 919/55,745/5020 is 136931

Given numbers has no common factors except 1. So, there LCM is their product i.e 684655

Least Common Multiple of 919,745 with GCF Formula

Least Common Multiple of 919,745 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 919,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,745) = 1

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

GCF(919,745) x common factors =1 x 1 = 1

LCM(919,745) = ( 919 × 745 ) / 1

LCM(919,745) = 684655 / 1

LCM(919,745) = 684655


Lets's calculate GCF of 55,5020

5 55, 5020
11, 1004

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684655/5

Therefore the LCM of Fractions 919/55,745/5020 is 136931

Greatest Common Factor of 55,5020 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,5020 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 5020

List of positive integer factors of 5020 that divides 5020 without a remainder.

1,2,4,5,10,20,251,502,1004,1255,2510,5020

Greatest Common Factor

We found the factors 55,5020 . The biggest common factor number is the GCF number.
So the greatest common factor 55,5020 is 5.


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 919/55, 745/5020

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 919/55, 745/5020?

Answer: LCM of Numerators as per given numbers 919/55, 745/5020 is

LCM of Numerators i.e. for 919,745 is 684655

GCF of denominators i.e. for 55,5020 is 5.

Thus, LCM of Fractions is 136931.Finally, LCM of Fractions for 919/55, 745/5020 is 136931.