Least Common Multiple of 70/942, 457/896, 150/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/942, 457/896, 150/562 quickly i.e. 239925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/942, 457/896, 150/562 is 239925.

LCM(70/942, 457/896, 150/562) = 239925

LCM of 70/942, 457/896, 150/562

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 70/942,457/896,150/562

Given numbers are 70/942,457/896,150/562

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 70,457,150

Least Common Multiple of Numerators i.e. LCM of 70,457,150 is 479850.

GCF of Denominators means GCF of 942,896,562 as per the given fractions.

GCF of 942,896,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,457,150

LCM of Fractions 70/942,457/896,150/562 is 239925

2 70, 457, 150
5 35, 457, 75
7, 457, 15

∴ So the LCM of the given numbers is 2 x 5 x 7 x 457 x 15 = 479850

Least Common Multiple of 70,457,150 with GCF Formula

Least Common Multiple of 70,457,150 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 70,457,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,457,150) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,457,150) x common factors =1 x 10 = 10

LCM(70,457,150) = ( 70 × 457 × 150 ) / 10

LCM(70,457,150) = 4798500 / 10

LCM(70,457,150) = 479850


Lets's calculate GCF of 942,896,562

2 942, 896, 562
471, 448, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479850/2

Therefore the LCM of Fractions 70/942,457/896,150/562 is 239925

Greatest Common Factor of 942,896,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,896,562 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 942,896,562 . The biggest common factor number is the GCF number.
So the greatest common factor 942,896,562 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 70/942, 457/896, 150/562

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 70/942, 457/896, 150/562?

Answer: LCM of Numerators as per given numbers 70/942, 457/896, 150/562 is

LCM of Numerators i.e. for 70,457,150 is 479850

GCF of denominators i.e. for 942,896,562 is 2.

Thus, LCM of Fractions is 239925.Finally, LCM of Fractions for 70/942, 457/896, 150/562 is 239925.