Least Common Multiple of 55/76, 77/10, 70/92, 28/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/76, 77/10, 70/92, 28/100 quickly i.e. 770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/76, 77/10, 70/92, 28/100 is 770.

LCM(55/76, 77/10, 70/92, 28/100) = 770

LCM of 55/76, 77/10, 70/92, 28/100

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 55/76,77/10,70/92,28/100

Given numbers are 55/76,77/10,70/92,28/100

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 55,77,70,28

Least Common Multiple of Numerators i.e. LCM of 55,77,70,28 is 1540.

GCF of Denominators means GCF of 76,10,92,100 as per the given fractions.

GCF of 76,10,92,100 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,77,70,28

LCM of Fractions 55/76,77/10,70/92,28/100 is 770

2 55, 77, 70, 28
5 55, 77, 35, 14
7 11, 77, 7, 14
11 11, 11, 1, 2
1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 1 x 1 x 2 = 1540

Least Common Multiple of 55,77,70,28 with GCF Formula

Least Common Multiple of 55,77,70,28 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 55,77,70,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,77,70,28) = 1

common factors(in case of two or more numbers have common factors) = 5390

GCF(55,77,70,28) x common factors =1 x 5390 = 5390

LCM(55,77,70,28) = ( 55 × 77 × 70 × 28 ) / 5390

LCM(55,77,70,28) = 8300600 / 5390

LCM(55,77,70,28) = 1540


Lets's calculate GCF of 76,10,92,100

2 76, 10, 92, 100
38, 5, 46, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540/2

Therefore the LCM of Fractions 55/76,77/10,70/92,28/100 is 770

Greatest Common Factor of 76,10,92,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,10,92,100 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 76,10,92,100 . The biggest common factor number is the GCF number.
So the greatest common factor 76,10,92,100 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 55/76, 77/10, 70/92, 28/100

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 55/76, 77/10, 70/92, 28/100?

Answer: LCM of Numerators as per given numbers 55/76, 77/10, 70/92, 28/100 is

LCM of Numerators i.e. for 55,77,70,28 is 1540

GCF of denominators i.e. for 76,10,92,100 is 2.

Thus, LCM of Fractions is 770.Finally, LCM of Fractions for 55/76, 77/10, 70/92, 28/100 is 770.